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What is the Least Common Multiple of 56564 and 56576?

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 56564 and 56576 is 800041216.

LCM(56564,56576) = 800041216

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Least Common Multiple of 56564 and 56576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56564 and 56576, than apply into the LCM equation.

GCF(56564,56576) = 4
LCM(56564,56576) = ( 56564 × 56576) / 4
LCM(56564,56576) = 3200164864 / 4
LCM(56564,56576) = 800041216

Least Common Multiple (LCM) of 56564 and 56576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56564 and 56576. First we will calculate the prime factors of 56564 and 56576.

Prime Factorization of 56564

Prime factors of 56564 are 2, 79, 179. Prime factorization of 56564 in exponential form is:

56564 = 22 × 791 × 1791

Prime Factorization of 56576

Prime factors of 56576 are 2, 13, 17. Prime factorization of 56576 in exponential form is:

56576 = 28 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 56564 and 56576.

LCM(56564,56576) = 28 × 791 × 1791 × 131 × 171
LCM(56564,56576) = 800041216