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What is the Least Common Multiple of 56572 and 56578?

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 56572 and 56578 is 1600365308.

LCM(56572,56578) = 1600365308

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Least Common Multiple of 56572 and 56578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56572 and 56578, than apply into the LCM equation.

GCF(56572,56578) = 2
LCM(56572,56578) = ( 56572 × 56578) / 2
LCM(56572,56578) = 3200730616 / 2
LCM(56572,56578) = 1600365308

Least Common Multiple (LCM) of 56572 and 56578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56572 and 56578. First we will calculate the prime factors of 56572 and 56578.

Prime Factorization of 56572

Prime factors of 56572 are 2, 14143. Prime factorization of 56572 in exponential form is:

56572 = 22 × 141431

Prime Factorization of 56578

Prime factors of 56578 are 2, 28289. Prime factorization of 56578 in exponential form is:

56578 = 21 × 282891

Now multiplying the highest exponent prime factors to calculate the LCM of 56572 and 56578.

LCM(56572,56578) = 22 × 141431 × 282891
LCM(56572,56578) = 1600365308