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What is the Least Common Multiple of 27315 and 27332?

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 27315 and 27332 is 746573580.

LCM(27315,27332) = 746573580

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Least Common Multiple of 27315 and 27332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27315 and 27332, than apply into the LCM equation.

GCF(27315,27332) = 1
LCM(27315,27332) = ( 27315 × 27332) / 1
LCM(27315,27332) = 746573580 / 1
LCM(27315,27332) = 746573580

Least Common Multiple (LCM) of 27315 and 27332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27315 and 27332. First we will calculate the prime factors of 27315 and 27332.

Prime Factorization of 27315

Prime factors of 27315 are 3, 5, 607. Prime factorization of 27315 in exponential form is:

27315 = 32 × 51 × 6071

Prime Factorization of 27332

Prime factors of 27332 are 2, 6833. Prime factorization of 27332 in exponential form is:

27332 = 22 × 68331

Now multiplying the highest exponent prime factors to calculate the LCM of 27315 and 27332.

LCM(27315,27332) = 32 × 51 × 6071 × 22 × 68331
LCM(27315,27332) = 746573580