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What is the Least Common Multiple of 56981 and 56992?

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 56992 is 3247461152.

LCM(56981,56992) = 3247461152

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Least Common Multiple of 56981 and 56992 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 56992, than apply into the LCM equation.

GCF(56981,56992) = 1
LCM(56981,56992) = ( 56981 × 56992) / 1
LCM(56981,56992) = 3247461152 / 1
LCM(56981,56992) = 3247461152

Least Common Multiple (LCM) of 56981 and 56992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56981 and 56992. First we will calculate the prime factors of 56981 and 56992.

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 56992

Prime factors of 56992 are 2, 13, 137. Prime factorization of 56992 in exponential form is:

56992 = 25 × 131 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 56981 and 56992.

LCM(56981,56992) = 191 × 29991 × 25 × 131 × 1371
LCM(56981,56992) = 3247461152