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What is the Least Common Multiple of 56615 and 56620?

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 56615 and 56620 is 641108260.

LCM(56615,56620) = 641108260

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Least Common Multiple of 56615 and 56620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56615 and 56620, than apply into the LCM equation.

GCF(56615,56620) = 5
LCM(56615,56620) = ( 56615 × 56620) / 5
LCM(56615,56620) = 3205541300 / 5
LCM(56615,56620) = 641108260

Least Common Multiple (LCM) of 56615 and 56620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56615 and 56620. First we will calculate the prime factors of 56615 and 56620.

Prime Factorization of 56615

Prime factors of 56615 are 5, 13, 67. Prime factorization of 56615 in exponential form is:

56615 = 51 × 132 × 671

Prime Factorization of 56620

Prime factors of 56620 are 2, 5, 19, 149. Prime factorization of 56620 in exponential form is:

56620 = 22 × 51 × 191 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 56615 and 56620.

LCM(56615,56620) = 51 × 132 × 671 × 22 × 191 × 1491
LCM(56615,56620) = 641108260