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What is the Least Common Multiple of 56708 and 56722?

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 56722 is 1608295588.

LCM(56708,56722) = 1608295588

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Least Common Multiple of 56708 and 56722 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 56722, than apply into the LCM equation.

GCF(56708,56722) = 2
LCM(56708,56722) = ( 56708 × 56722) / 2
LCM(56708,56722) = 3216591176 / 2
LCM(56708,56722) = 1608295588

Least Common Multiple (LCM) of 56708 and 56722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56708 and 56722. First we will calculate the prime factors of 56708 and 56722.

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 56722

Prime factors of 56722 are 2, 79, 359. Prime factorization of 56722 in exponential form is:

56722 = 21 × 791 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 56708 and 56722.

LCM(56708,56722) = 22 × 141771 × 791 × 3591
LCM(56708,56722) = 1608295588