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What is the Least Common Multiple of 56708 and 56716?

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 56708 and 56716 is 804062732.

LCM(56708,56716) = 804062732

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Least Common Multiple of 56708 and 56716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56708 and 56716, than apply into the LCM equation.

GCF(56708,56716) = 4
LCM(56708,56716) = ( 56708 × 56716) / 4
LCM(56708,56716) = 3216250928 / 4
LCM(56708,56716) = 804062732

Least Common Multiple (LCM) of 56708 and 56716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56708 and 56716. First we will calculate the prime factors of 56708 and 56716.

Prime Factorization of 56708

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

56708 = 22 × 141771

Prime Factorization of 56716

Prime factors of 56716 are 2, 11, 1289. Prime factorization of 56716 in exponential form is:

56716 = 22 × 111 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 56708 and 56716.

LCM(56708,56716) = 22 × 141771 × 111 × 12891
LCM(56708,56716) = 804062732