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What is the Least Common Multiple of 15291 and 15300?

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 15291 and 15300 is 25994700.

LCM(15291,15300) = 25994700

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Least Common Multiple of 15291 and 15300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15291 and 15300, than apply into the LCM equation.

GCF(15291,15300) = 9
LCM(15291,15300) = ( 15291 × 15300) / 9
LCM(15291,15300) = 233952300 / 9
LCM(15291,15300) = 25994700

Least Common Multiple (LCM) of 15291 and 15300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15291 and 15300. First we will calculate the prime factors of 15291 and 15300.

Prime Factorization of 15291

Prime factors of 15291 are 3, 1699. Prime factorization of 15291 in exponential form is:

15291 = 32 × 16991

Prime Factorization of 15300

Prime factors of 15300 are 2, 3, 5, 17. Prime factorization of 15300 in exponential form is:

15300 = 22 × 32 × 52 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 15291 and 15300.

LCM(15291,15300) = 32 × 16991 × 22 × 52 × 171
LCM(15291,15300) = 25994700