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What is the Least Common Multiple of 56992 and 57012?

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 56992 and 57012 is 812306976.

LCM(56992,57012) = 812306976

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Least Common Multiple of 56992 and 57012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56992 and 57012, than apply into the LCM equation.

GCF(56992,57012) = 4
LCM(56992,57012) = ( 56992 × 57012) / 4
LCM(56992,57012) = 3249227904 / 4
LCM(56992,57012) = 812306976

Least Common Multiple (LCM) of 56992 and 57012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56992 and 57012. First we will calculate the prime factors of 56992 and 57012.

Prime Factorization of 56992

Prime factors of 56992 are 2, 13, 137. Prime factorization of 56992 in exponential form is:

56992 = 25 × 131 × 1371

Prime Factorization of 57012

Prime factors of 57012 are 2, 3, 4751. Prime factorization of 57012 in exponential form is:

57012 = 22 × 31 × 47511

Now multiplying the highest exponent prime factors to calculate the LCM of 56992 and 57012.

LCM(56992,57012) = 25 × 131 × 1371 × 31 × 47511
LCM(56992,57012) = 812306976