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LCM of 15 and 25

The least common multiple (LCM) of 15 and 25 is 75. Their greatest common factor (GCF) is 5.

LCM75
GCF5
Prime factors of 153 × 5
Prime factors of 255^2

Prime factorization method

Write each number as a product of primes: 15 = 3 × 5 and 25 = 5^2. The LCM takes every prime with its highest power, which gives 75. The GCF takes only the shared primes with their lowest power, which gives 5.

Check with the formula

For two numbers, LCM × GCF = a × b. Here 75 × 5 = 375, and 15 × 25 = 375, so the answer is correct.

Multiples of 15 and 25

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120 … Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200 … The first number that appears in both lists is 75.

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Frequently asked questions

What is the LCM of 15 and 25?

The LCM of 15 and 25 is 75. It is the smallest positive number that both 15 and 25 divide into exactly.

What is the GCF of 15 and 25?

The greatest common factor of 15 and 25 is 5. It is the largest number that divides both without a remainder.

How do I find the LCM of 15 and 25 quickly?

Divide the product by the GCF: 15 × 25 = 375, and 375 ÷ 5 = 75.