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What is the Least Common Multiple of 56981 and 56997?

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 56981 and 56997 is 3247746057.

LCM(56981,56997) = 3247746057

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Least Common Multiple of 56981 and 56997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56981 and 56997, than apply into the LCM equation.

GCF(56981,56997) = 1
LCM(56981,56997) = ( 56981 × 56997) / 1
LCM(56981,56997) = 3247746057 / 1
LCM(56981,56997) = 3247746057

Least Common Multiple (LCM) of 56981 and 56997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56981 and 56997. First we will calculate the prime factors of 56981 and 56997.

Prime Factorization of 56981

Prime factors of 56981 are 19, 2999. Prime factorization of 56981 in exponential form is:

56981 = 191 × 29991

Prime Factorization of 56997

Prime factors of 56997 are 3, 2111. Prime factorization of 56997 in exponential form is:

56997 = 33 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 56981 and 56997.

LCM(56981,56997) = 191 × 29991 × 33 × 21111
LCM(56981,56997) = 3247746057