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What is the Least Common Multiple of 12725 and 12736?

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 12725 and 12736 is 162065600.

LCM(12725,12736) = 162065600

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Least Common Multiple of 12725 and 12736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12725 and 12736, than apply into the LCM equation.

GCF(12725,12736) = 1
LCM(12725,12736) = ( 12725 × 12736) / 1
LCM(12725,12736) = 162065600 / 1
LCM(12725,12736) = 162065600

Least Common Multiple (LCM) of 12725 and 12736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12725 and 12736. First we will calculate the prime factors of 12725 and 12736.

Prime Factorization of 12725

Prime factors of 12725 are 5, 509. Prime factorization of 12725 in exponential form is:

12725 = 52 × 5091

Prime Factorization of 12736

Prime factors of 12736 are 2, 199. Prime factorization of 12736 in exponential form is:

12736 = 26 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 12725 and 12736.

LCM(12725,12736) = 52 × 5091 × 26 × 1991
LCM(12725,12736) = 162065600