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What is the Least Common Multiple of 56516 and 56522?

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 56516 and 56522 is 1597198676.

LCM(56516,56522) = 1597198676

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Least Common Multiple of 56516 and 56522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56516 and 56522, than apply into the LCM equation.

GCF(56516,56522) = 2
LCM(56516,56522) = ( 56516 × 56522) / 2
LCM(56516,56522) = 3194397352 / 2
LCM(56516,56522) = 1597198676

Least Common Multiple (LCM) of 56516 and 56522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56516 and 56522. First we will calculate the prime factors of 56516 and 56522.

Prime Factorization of 56516

Prime factors of 56516 are 2, 71, 199. Prime factorization of 56516 in exponential form is:

56516 = 22 × 711 × 1991

Prime Factorization of 56522

Prime factors of 56522 are 2, 59, 479. Prime factorization of 56522 in exponential form is:

56522 = 21 × 591 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 56516 and 56522.

LCM(56516,56522) = 22 × 711 × 1991 × 591 × 4791
LCM(56516,56522) = 1597198676