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What is the Least Common Multiple of 56727 and 56743?

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 56727 and 56743 is 3218860161.

LCM(56727,56743) = 3218860161

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Least Common Multiple of 56727 and 56743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56727 and 56743, than apply into the LCM equation.

GCF(56727,56743) = 1
LCM(56727,56743) = ( 56727 × 56743) / 1
LCM(56727,56743) = 3218860161 / 1
LCM(56727,56743) = 3218860161

Least Common Multiple (LCM) of 56727 and 56743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56727 and 56743. First we will calculate the prime factors of 56727 and 56743.

Prime Factorization of 56727

Prime factors of 56727 are 3, 11, 191. Prime factorization of 56727 in exponential form is:

56727 = 33 × 111 × 1911

Prime Factorization of 56743

Prime factors of 56743 are 179, 317. Prime factorization of 56743 in exponential form is:

56743 = 1791 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 56727 and 56743.

LCM(56727,56743) = 33 × 111 × 1911 × 1791 × 3171
LCM(56727,56743) = 3218860161