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What is the Least Common Multiple of 56967 and 56977?

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 56967 and 56977 is 3245808759.

LCM(56967,56977) = 3245808759

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Least Common Multiple of 56967 and 56977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56967 and 56977, than apply into the LCM equation.

GCF(56967,56977) = 1
LCM(56967,56977) = ( 56967 × 56977) / 1
LCM(56967,56977) = 3245808759 / 1
LCM(56967,56977) = 3245808759

Least Common Multiple (LCM) of 56967 and 56977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56967 and 56977. First we will calculate the prime factors of 56967 and 56977.

Prime Factorization of 56967

Prime factors of 56967 are 3, 17, 1117. Prime factorization of 56967 in exponential form is:

56967 = 31 × 171 × 11171

Prime Factorization of 56977

Prime factors of 56977 are 227, 251. Prime factorization of 56977 in exponential form is:

56977 = 2271 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 56967 and 56977.

LCM(56967,56977) = 31 × 171 × 11171 × 2271 × 2511
LCM(56967,56977) = 3245808759