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What is the Least Common Multiple of 56635 and 56645?

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 56635 and 56645 is 641617915.

LCM(56635,56645) = 641617915

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Least Common Multiple of 56635 and 56645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56635 and 56645, than apply into the LCM equation.

GCF(56635,56645) = 5
LCM(56635,56645) = ( 56635 × 56645) / 5
LCM(56635,56645) = 3208089575 / 5
LCM(56635,56645) = 641617915

Least Common Multiple (LCM) of 56635 and 56645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56635 and 56645. First we will calculate the prime factors of 56635 and 56645.

Prime Factorization of 56635

Prime factors of 56635 are 5, 47, 241. Prime factorization of 56635 in exponential form is:

56635 = 51 × 471 × 2411

Prime Factorization of 56645

Prime factors of 56645 are 5, 11329. Prime factorization of 56645 in exponential form is:

56645 = 51 × 113291

Now multiplying the highest exponent prime factors to calculate the LCM of 56635 and 56645.

LCM(56635,56645) = 51 × 471 × 2411 × 113291
LCM(56635,56645) = 641617915