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What is the Least Common Multiple of 56991 and 57006?

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 56991 and 57006 is 1082942982.

LCM(56991,57006) = 1082942982

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Least Common Multiple of 56991 and 57006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56991 and 57006, than apply into the LCM equation.

GCF(56991,57006) = 3
LCM(56991,57006) = ( 56991 × 57006) / 3
LCM(56991,57006) = 3248828946 / 3
LCM(56991,57006) = 1082942982

Least Common Multiple (LCM) of 56991 and 57006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56991 and 57006. First we will calculate the prime factors of 56991 and 57006.

Prime Factorization of 56991

Prime factors of 56991 are 3, 11, 157. Prime factorization of 56991 in exponential form is:

56991 = 31 × 112 × 1571

Prime Factorization of 57006

Prime factors of 57006 are 2, 3, 3167. Prime factorization of 57006 in exponential form is:

57006 = 21 × 32 × 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 56991 and 57006.

LCM(56991,57006) = 32 × 112 × 1571 × 21 × 31671
LCM(56991,57006) = 1082942982