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What is the Least Common Multiple of 56512 and 56519?

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 56512 and 56519 is 3194001728.

LCM(56512,56519) = 3194001728

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Least Common Multiple of 56512 and 56519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56512 and 56519, than apply into the LCM equation.

GCF(56512,56519) = 1
LCM(56512,56519) = ( 56512 × 56519) / 1
LCM(56512,56519) = 3194001728 / 1
LCM(56512,56519) = 3194001728

Least Common Multiple (LCM) of 56512 and 56519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56512 and 56519. First we will calculate the prime factors of 56512 and 56519.

Prime Factorization of 56512

Prime factors of 56512 are 2, 883. Prime factorization of 56512 in exponential form is:

56512 = 26 × 8831

Prime Factorization of 56519

Prime factors of 56519 are 56519. Prime factorization of 56519 in exponential form is:

56519 = 565191

Now multiplying the highest exponent prime factors to calculate the LCM of 56512 and 56519.

LCM(56512,56519) = 26 × 8831 × 565191
LCM(56512,56519) = 3194001728