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What is the Least Common Multiple of 56688 and 56704?

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 56688 and 56704 is 200902272.

LCM(56688,56704) = 200902272

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Least Common Multiple of 56688 and 56704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56688 and 56704, than apply into the LCM equation.

GCF(56688,56704) = 16
LCM(56688,56704) = ( 56688 × 56704) / 16
LCM(56688,56704) = 3214436352 / 16
LCM(56688,56704) = 200902272

Least Common Multiple (LCM) of 56688 and 56704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56688 and 56704. First we will calculate the prime factors of 56688 and 56704.

Prime Factorization of 56688

Prime factors of 56688 are 2, 3, 1181. Prime factorization of 56688 in exponential form is:

56688 = 24 × 31 × 11811

Prime Factorization of 56704

Prime factors of 56704 are 2, 443. Prime factorization of 56704 in exponential form is:

56704 = 27 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 56688 and 56704.

LCM(56688,56704) = 27 × 31 × 11811 × 4431
LCM(56688,56704) = 200902272