Show measures for functioning Out by: none Listing Multiples element Factorization Cake / Ladder division Method GCF an approach
*

*

Calculator Use

The Least typical Multiple (LCM) is also referred to as the Lowest typical Multiple (LCM) and Least common Divisor (LCD). For two integers a and b, denoted LCM(a,b), the LCM is the smallest hopeful integer that is same divisible by both a and b. Because that example, LCM(2,3) = 6 and also LCM(6,10) = 30.

The LCM of two or much more numbers is the smallest number the is same divisible by every numbers in the set.

You are watching: What is the lcm of 6 and 10

Least common Multiple Calculator

Find the LCM the a set of numbers with this calculator which likewise shows the steps and also how to carry out the work.

Input the number you desire to uncover the LCM for. You can use commas or spaces to different your numbers. But do not usage commas within your numbers. For example, go into 2500, 1000 and also not 2,500, 1,000.

See more: India Vs Pakistan Time - India Time To Pakistan Time Conversion

How to uncover the Least typical Multiple LCM

This LCM calculator with procedures finds the LCM and also shows the work using 5 various methods:

Listing Multiples prime Factorization Cake/Ladder Method division Method making use of the Greatest usual Factor GCF

How to find LCM by Listing Multiples

perform the multiples of every number until at the very least one the the multiples shows up on every lists find the smallest number the is on all of the perform This number is the LCM

Example: LCM(6,7,21)

Multiples the 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 Multiples the 7: 7, 14, 21, 28, 35, 42, 56, 63 Multiples the 21: 21, 42, 63 find the the smallest number that is on all of the lists. We have it in bold above. Therefore LCM(6, 7, 21) is 42

How to uncover LCM by prime Factorization

discover all the prime factors of each provided number. List all the prime numbers found, as plenty of times as they happen most frequently for any kind of one provided number. Multiply the perform of prime determinants together to find the LCM.

The LCM(a,b) is calculated by detect the prime factorization the both a and b. Usage the same procedure for the LCM of more than 2 numbers.

For example, for LCM(12,30) we find:

prime factorization the 12 = 2 × 2 × 3 element factorization the 30 = 2 × 3 × 5 using all element numbers uncovered as regularly as each occurs most frequently we take it 2 × 2 × 3 × 5 = 60 because of this LCM(12,30) = 60.

For example, because that LCM(24,300) we find:

element factorization that 24 = 2 × 2 × 2 × 3 prime factorization of 300 = 2 × 2 × 3 × 5 × 5 making use of all prime numbers uncovered as regularly as each occurs most frequently we take 2 × 2 × 2 × 3 × 5 × 5 = 600 thus LCM(24,300) = 600.

How to uncover LCM by element Factorization using Exponents

find all the prime determinants of each given number and write lock in exponent form. Perform all the element numbers found, making use of the highest possible exponent uncovered for each. Main point the perform of prime determinants with exponents together to discover the LCM.

Example: LCM(12,18,30)

Prime determinants of 12 = 2 × 2 × 3 = 22 × 31 Prime determinants of 18 = 2 × 3 × 3 = 21 × 32 Prime factors of 30 = 2 × 3 × 5 = 21 × 31 × 51 perform all the element numbers found, as countless times together they take place most regularly for any one offered number and multiply them together to find the LCM 2 × 2 × 3 × 3 × 5 = 180 utilizing exponents instead, multiply with each other each that the prime numbers with the highest power 22 × 32 × 51 = 180 so LCM(12,18,30) = 180

Example: LCM(24,300)

Prime determinants of 24 = 2 × 2 × 2 × 3 = 23 × 31 Prime components of 300 = 2 × 2 × 3 × 5 × 5 = 22 × 31 × 52 perform all the prime numbers found, as many times together they occur most often for any one given number and also multiply them together to find the LCM 2 × 2 × 2 × 3 × 5 × 5 = 600 utilizing exponents instead, multiply with each other each of the element numbers with the highest possible power 23 × 31 × 52 = 600 therefore LCM(24,300) = 600

How to uncover LCM using the Cake an approach (Ladder Method)

The cake method uses department to find the LCM the a collection of numbers. People use the cake or ladder technique as the fastest and easiest means to uncover the LCM since it is simple division.

The cake an approach is the very same as the ladder method, the box method, the variable box an approach and the grid method of shortcuts to uncover the LCM. The boxes and also grids could look a little different, yet they every use department by primes to find LCM.