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What is the Least Common Multiple of 27567 and 27576?

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 27567 and 27576 is 84465288.

LCM(27567,27576) = 84465288

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Least Common Multiple of 27567 and 27576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27567 and 27576, than apply into the LCM equation.

GCF(27567,27576) = 9
LCM(27567,27576) = ( 27567 × 27576) / 9
LCM(27567,27576) = 760187592 / 9
LCM(27567,27576) = 84465288

Least Common Multiple (LCM) of 27567 and 27576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27567 and 27576. First we will calculate the prime factors of 27567 and 27576.

Prime Factorization of 27567

Prime factors of 27567 are 3, 1021. Prime factorization of 27567 in exponential form is:

27567 = 33 × 10211

Prime Factorization of 27576

Prime factors of 27576 are 2, 3, 383. Prime factorization of 27576 in exponential form is:

27576 = 23 × 32 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 27567 and 27576.

LCM(27567,27576) = 33 × 10211 × 23 × 3831
LCM(27567,27576) = 84465288