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What is the Least Common Multiple of 10612 and 10627?

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 10612 and 10627 is 112773724.

LCM(10612,10627) = 112773724

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Least Common Multiple of 10612 and 10627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10612 and 10627, than apply into the LCM equation.

GCF(10612,10627) = 1
LCM(10612,10627) = ( 10612 × 10627) / 1
LCM(10612,10627) = 112773724 / 1
LCM(10612,10627) = 112773724

Least Common Multiple (LCM) of 10612 and 10627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10612 and 10627. First we will calculate the prime factors of 10612 and 10627.

Prime Factorization of 10612

Prime factors of 10612 are 2, 7, 379. Prime factorization of 10612 in exponential form is:

10612 = 22 × 71 × 3791

Prime Factorization of 10627

Prime factors of 10627 are 10627. Prime factorization of 10627 in exponential form is:

10627 = 106271

Now multiplying the highest exponent prime factors to calculate the LCM of 10612 and 10627.

LCM(10612,10627) = 22 × 71 × 3791 × 106271
LCM(10612,10627) = 112773724