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LCM of 6 and 10

The least common multiple (LCM) of 6 and 10 is 30. Their greatest common factor (GCF) is 2.

LCM30
GCF2
Prime factors of 62 × 3
Prime factors of 102 × 5

Prime factorization method

Write each number as a product of primes: 6 = 2 × 3 and 10 = 2 × 5. The LCM takes every prime with its highest power, which gives 30. The GCF takes only the shared primes with their lowest power, which gives 2.

Check with the formula

For two numbers, LCM × GCF = a × b. Here 30 × 2 = 60, and 6 × 10 = 60, so the answer is correct.

Multiples of 6 and 10

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48 … Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80 … The first number that appears in both lists is 30.

Open the LCM & GCF Calculator

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Frequently asked questions

What is the LCM of 6 and 10?

The LCM of 6 and 10 is 30. It is the smallest positive number that both 6 and 10 divide into exactly.

What is the GCF of 6 and 10?

The greatest common factor of 6 and 10 is 2. It is the largest number that divides both without a remainder.

How do I find the LCM of 6 and 10 quickly?

Divide the product by the GCF: 6 × 10 = 60, and 60 ÷ 2 = 30.