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What is the Least Common Multiple of 56781 and 56790?

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 56781 and 56790 is 358288110.

LCM(56781,56790) = 358288110

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Least Common Multiple of 56781 and 56790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56781 and 56790, than apply into the LCM equation.

GCF(56781,56790) = 9
LCM(56781,56790) = ( 56781 × 56790) / 9
LCM(56781,56790) = 3224592990 / 9
LCM(56781,56790) = 358288110

Least Common Multiple (LCM) of 56781 and 56790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56781 and 56790. First we will calculate the prime factors of 56781 and 56790.

Prime Factorization of 56781

Prime factors of 56781 are 3, 701. Prime factorization of 56781 in exponential form is:

56781 = 34 × 7011

Prime Factorization of 56790

Prime factors of 56790 are 2, 3, 5, 631. Prime factorization of 56790 in exponential form is:

56790 = 21 × 32 × 51 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 56781 and 56790.

LCM(56781,56790) = 34 × 7011 × 21 × 51 × 6311
LCM(56781,56790) = 358288110