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What is the Least Common Multiple of 10627 and 10645?

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 10627 and 10645 is 113124415.

LCM(10627,10645) = 113124415

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Least Common Multiple of 10627 and 10645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10627 and 10645, than apply into the LCM equation.

GCF(10627,10645) = 1
LCM(10627,10645) = ( 10627 × 10645) / 1
LCM(10627,10645) = 113124415 / 1
LCM(10627,10645) = 113124415

Least Common Multiple (LCM) of 10627 and 10645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10627 and 10645. First we will calculate the prime factors of 10627 and 10645.

Prime Factorization of 10627

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

10627 = 106271

Prime Factorization of 10645

Prime factors of 10645 are 5, 2129. Prime factorization of 10645 in exponential form is:

10645 = 51 × 21291

Now multiplying the highest exponent prime factors to calculate the LCM of 10627 and 10645.

LCM(10627,10645) = 106271 × 51 × 21291
LCM(10627,10645) = 113124415