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What is the Least Common Multiple of 5616 and 5627?

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 5616 and 5627 is 31601232.

LCM(5616,5627) = 31601232

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Least Common Multiple of 5616 and 5627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5616 and 5627, than apply into the LCM equation.

GCF(5616,5627) = 1
LCM(5616,5627) = ( 5616 × 5627) / 1
LCM(5616,5627) = 31601232 / 1
LCM(5616,5627) = 31601232

Least Common Multiple (LCM) of 5616 and 5627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5616 and 5627. First we will calculate the prime factors of 5616 and 5627.

Prime Factorization of 5616

Prime factors of 5616 are 2, 3, 13. Prime factorization of 5616 in exponential form is:

5616 = 24 × 33 × 131

Prime Factorization of 5627

Prime factors of 5627 are 17, 331. Prime factorization of 5627 in exponential form is:

5627 = 171 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 5616 and 5627.

LCM(5616,5627) = 24 × 33 × 131 × 171 × 3311
LCM(5616,5627) = 31601232