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What is the Least Common Multiple of 56312 and 56325?

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 56312 and 56325 is 3171773400.

LCM(56312,56325) = 3171773400

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Least Common Multiple of 56312 and 56325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56312 and 56325, than apply into the LCM equation.

GCF(56312,56325) = 1
LCM(56312,56325) = ( 56312 × 56325) / 1
LCM(56312,56325) = 3171773400 / 1
LCM(56312,56325) = 3171773400

Least Common Multiple (LCM) of 56312 and 56325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56312 and 56325. First we will calculate the prime factors of 56312 and 56325.

Prime Factorization of 56312

Prime factors of 56312 are 2, 7039. Prime factorization of 56312 in exponential form is:

56312 = 23 × 70391

Prime Factorization of 56325

Prime factors of 56325 are 3, 5, 751. Prime factorization of 56325 in exponential form is:

56325 = 31 × 52 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 56312 and 56325.

LCM(56312,56325) = 23 × 70391 × 31 × 52 × 7511
LCM(56312,56325) = 3171773400