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What is the Least Common Multiple of 56715 and 56720?

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 56715 and 56720 is 643374960.

LCM(56715,56720) = 643374960

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Least Common Multiple of 56715 and 56720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56715 and 56720, than apply into the LCM equation.

GCF(56715,56720) = 5
LCM(56715,56720) = ( 56715 × 56720) / 5
LCM(56715,56720) = 3216874800 / 5
LCM(56715,56720) = 643374960

Least Common Multiple (LCM) of 56715 and 56720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56715 and 56720. First we will calculate the prime factors of 56715 and 56720.

Prime Factorization of 56715

Prime factors of 56715 are 3, 5, 19, 199. Prime factorization of 56715 in exponential form is:

56715 = 31 × 51 × 191 × 1991

Prime Factorization of 56720

Prime factors of 56720 are 2, 5, 709. Prime factorization of 56720 in exponential form is:

56720 = 24 × 51 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 56715 and 56720.

LCM(56715,56720) = 31 × 51 × 191 × 1991 × 24 × 7091
LCM(56715,56720) = 643374960