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What is the Least Common Multiple of 28515 and 28521?

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 28515 and 28521 is 271092105.

LCM(28515,28521) = 271092105

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Least Common Multiple of 28515 and 28521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28515 and 28521, than apply into the LCM equation.

GCF(28515,28521) = 3
LCM(28515,28521) = ( 28515 × 28521) / 3
LCM(28515,28521) = 813276315 / 3
LCM(28515,28521) = 271092105

Least Common Multiple (LCM) of 28515 and 28521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28515 and 28521. First we will calculate the prime factors of 28515 and 28521.

Prime Factorization of 28515

Prime factors of 28515 are 3, 5, 1901. Prime factorization of 28515 in exponential form is:

28515 = 31 × 51 × 19011

Prime Factorization of 28521

Prime factors of 28521 are 3, 3169. Prime factorization of 28521 in exponential form is:

28521 = 32 × 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 28515 and 28521.

LCM(28515,28521) = 32 × 51 × 19011 × 31691
LCM(28515,28521) = 271092105