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What is the Least Common Multiple of 17616 and 17627?

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 17616 and 17627 is 310517232.

LCM(17616,17627) = 310517232

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Least Common Multiple of 17616 and 17627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17616 and 17627, than apply into the LCM equation.

GCF(17616,17627) = 1
LCM(17616,17627) = ( 17616 × 17627) / 1
LCM(17616,17627) = 310517232 / 1
LCM(17616,17627) = 310517232

Least Common Multiple (LCM) of 17616 and 17627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17616 and 17627. First we will calculate the prime factors of 17616 and 17627.

Prime Factorization of 17616

Prime factors of 17616 are 2, 3, 367. Prime factorization of 17616 in exponential form is:

17616 = 24 × 31 × 3671

Prime Factorization of 17627

Prime factors of 17627 are 17627. Prime factorization of 17627 in exponential form is:

17627 = 176271

Now multiplying the highest exponent prime factors to calculate the LCM of 17616 and 17627.

LCM(17616,17627) = 24 × 31 × 3671 × 176271
LCM(17616,17627) = 310517232