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Q:

# What is the lowest common multiple of 9 and 12?

A:

The lowest common multiple of 9 and 12 is 36. The least common multiple of two numbers (x and y) is the smallest number that has both x and y as factors.

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The best method to find the least common multiple is to split both numbers into prime factors. That means 9 is 3 x 3, and 12 is 2 x 2 x 3. Next, it is best to count how many times each prime factor appears in each number. Three appears twice in 9 and once in 12. Two appears twice in 12 and never in 9. Take the maximum amount each prime appears in either number. That means 3 twice and 2 twice. Finally multiply the primes together to find the least common multiple. 3 x 3 x 2 x 2 equals 36, which is the least common multiple of 9 and 12.

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## Related Questions

• A:

The least common multiple, or LCM, of 35 and 10 is 70. Use prime factorization of both numbers to find the least common multiple. Prime factorization involves finding the prime numbers that multiply together to yield a particular number.

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• A:

The least common multiple of 5, 12 and 24 is 120. This multiple can be found by looking at the common prime factors of the three numbers.

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To find the least common multiple of two numbers, factor the two numbers, noting the frequency of the prime factors, and then multiply the most repeated factors together. Perform division to check your answer when complete.