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What is the Least Common Multiple of 28344 and 28359?

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 28344 and 28359 is 267935832.

LCM(28344,28359) = 267935832

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Least Common Multiple of 28344 and 28359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28344 and 28359, than apply into the LCM equation.

GCF(28344,28359) = 3
LCM(28344,28359) = ( 28344 × 28359) / 3
LCM(28344,28359) = 803807496 / 3
LCM(28344,28359) = 267935832

Least Common Multiple (LCM) of 28344 and 28359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28344 and 28359. First we will calculate the prime factors of 28344 and 28359.

Prime Factorization of 28344

Prime factors of 28344 are 2, 3, 1181. Prime factorization of 28344 in exponential form is:

28344 = 23 × 31 × 11811

Prime Factorization of 28359

Prime factors of 28359 are 3, 23, 137. Prime factorization of 28359 in exponential form is:

28359 = 32 × 231 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 28344 and 28359.

LCM(28344,28359) = 23 × 32 × 11811 × 231 × 1371
LCM(28344,28359) = 267935832