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What is the Least Common Multiple of 56820 and 56825?

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 56820 and 56825 is 645759300.

LCM(56820,56825) = 645759300

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Least Common Multiple of 56820 and 56825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56820 and 56825, than apply into the LCM equation.

GCF(56820,56825) = 5
LCM(56820,56825) = ( 56820 × 56825) / 5
LCM(56820,56825) = 3228796500 / 5
LCM(56820,56825) = 645759300

Least Common Multiple (LCM) of 56820 and 56825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56820 and 56825. First we will calculate the prime factors of 56820 and 56825.

Prime Factorization of 56820

Prime factors of 56820 are 2, 3, 5, 947. Prime factorization of 56820 in exponential form is:

56820 = 22 × 31 × 51 × 9471

Prime Factorization of 56825

Prime factors of 56825 are 5, 2273. Prime factorization of 56825 in exponential form is:

56825 = 52 × 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 56820 and 56825.

LCM(56820,56825) = 22 × 31 × 52 × 9471 × 22731
LCM(56820,56825) = 645759300