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What is the Least Common Multiple of 27008 and 27024?

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 27008 and 27024 is 45616512.

LCM(27008,27024) = 45616512

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Least Common Multiple of 27008 and 27024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27008 and 27024, than apply into the LCM equation.

GCF(27008,27024) = 16
LCM(27008,27024) = ( 27008 × 27024) / 16
LCM(27008,27024) = 729864192 / 16
LCM(27008,27024) = 45616512

Least Common Multiple (LCM) of 27008 and 27024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27008 and 27024. First we will calculate the prime factors of 27008 and 27024.

Prime Factorization of 27008

Prime factors of 27008 are 2, 211. Prime factorization of 27008 in exponential form is:

27008 = 27 × 2111

Prime Factorization of 27024

Prime factors of 27024 are 2, 3, 563. Prime factorization of 27024 in exponential form is:

27024 = 24 × 31 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 27008 and 27024.

LCM(27008,27024) = 27 × 2111 × 31 × 5631
LCM(27008,27024) = 45616512