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What is the Least Common Multiple of 27088 and 27108?

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 27088 and 27108 is 183575376.

LCM(27088,27108) = 183575376

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Least Common Multiple of 27088 and 27108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27088 and 27108, than apply into the LCM equation.

GCF(27088,27108) = 4
LCM(27088,27108) = ( 27088 × 27108) / 4
LCM(27088,27108) = 734301504 / 4
LCM(27088,27108) = 183575376

Least Common Multiple (LCM) of 27088 and 27108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27088 and 27108. First we will calculate the prime factors of 27088 and 27108.

Prime Factorization of 27088

Prime factors of 27088 are 2, 1693. Prime factorization of 27088 in exponential form is:

27088 = 24 × 16931

Prime Factorization of 27108

Prime factors of 27108 are 2, 3, 251. Prime factorization of 27108 in exponential form is:

27108 = 22 × 33 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 27088 and 27108.

LCM(27088,27108) = 24 × 16931 × 33 × 2511
LCM(27088,27108) = 183575376