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What is the Least Common Multiple of 56815 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 56815 and 56825 is 645702475.

LCM(56815,56825) = 645702475

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Least Common Multiple of 56815 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 56815 and 56825, than apply into the LCM equation.

GCF(56815,56825) = 5
LCM(56815,56825) = ( 56815 × 56825) / 5
LCM(56815,56825) = 3228512375 / 5
LCM(56815,56825) = 645702475

Least Common Multiple (LCM) of 56815 and 56825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56815 and 56825. First we will calculate the prime factors of 56815 and 56825.

Prime Factorization of 56815

Prime factors of 56815 are 5, 11, 1033. Prime factorization of 56815 in exponential form is:

56815 = 51 × 111 × 10331

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 56815 and 56825.

LCM(56815,56825) = 52 × 111 × 10331 × 22731
LCM(56815,56825) = 645702475