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What is the Least Common Multiple of 5 and 25?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 5 and 25 is 25.

LCM(5,25) = 25

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Least Common Multiple of 5 and 25 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5 and 25, than apply into the LCM equation.

GCF(5,25) = 5
LCM(5,25) = ( 5 × 25) / 5
LCM(5,25) = 125 / 5
LCM(5,25) = 25

Least Common Multiple (LCM) of 5 and 25 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 25. First we will calculate the prime factors of 5 and 25.

Prime Factorization of 5

Prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

Prime Factorization of 25

Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:

25 = 52

Now multiplying the highest exponent prime factors to calculate the LCM of 5 and 25.

LCM(5,25) = 52
LCM(5,25) = 25

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