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What is the Least Common Multiple of 56704 and 56709?

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 56704 and 56709 is 3215627136.

LCM(56704,56709) = 3215627136

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Least Common Multiple of 56704 and 56709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56704 and 56709, than apply into the LCM equation.

GCF(56704,56709) = 1
LCM(56704,56709) = ( 56704 × 56709) / 1
LCM(56704,56709) = 3215627136 / 1
LCM(56704,56709) = 3215627136

Least Common Multiple (LCM) of 56704 and 56709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56704 and 56709. First we will calculate the prime factors of 56704 and 56709.

Prime Factorization of 56704

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

56704 = 27 × 4431

Prime Factorization of 56709

Prime factors of 56709 are 3, 6301. Prime factorization of 56709 in exponential form is:

56709 = 32 × 63011

Now multiplying the highest exponent prime factors to calculate the LCM of 56704 and 56709.

LCM(56704,56709) = 27 × 4431 × 32 × 63011
LCM(56704,56709) = 3215627136