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What is the Least Common Multiple of 56704 and 56708?

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 56708 is 803892608.

LCM(56704,56708) = 803892608

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Least Common Multiple of 56704 and 56708 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 56708, than apply into the LCM equation.

GCF(56704,56708) = 4
LCM(56704,56708) = ( 56704 × 56708) / 4
LCM(56704,56708) = 3215570432 / 4
LCM(56704,56708) = 803892608

Least Common Multiple (LCM) of 56704 and 56708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56704 and 56708. First we will calculate the prime factors of 56704 and 56708.

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 56708

Prime factors of 56708 are 2, 14177. Prime factorization of 56708 in exponential form is:

56708 = 22 × 141771

Now multiplying the highest exponent prime factors to calculate the LCM of 56704 and 56708.

LCM(56704,56708) = 27 × 4431 × 141771
LCM(56704,56708) = 803892608