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What is the Least Common Multiple of 56780 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 56780 and 56790 is 322453620.

LCM(56780,56790) = 322453620

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Least Common Multiple of 56780 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 56780 and 56790, than apply into the LCM equation.

GCF(56780,56790) = 10
LCM(56780,56790) = ( 56780 × 56790) / 10
LCM(56780,56790) = 3224536200 / 10
LCM(56780,56790) = 322453620

Least Common Multiple (LCM) of 56780 and 56790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56780 and 56790. First we will calculate the prime factors of 56780 and 56790.

Prime Factorization of 56780

Prime factors of 56780 are 2, 5, 17, 167. Prime factorization of 56780 in exponential form is:

56780 = 22 × 51 × 171 × 1671

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 56780 and 56790.

LCM(56780,56790) = 22 × 51 × 171 × 1671 × 32 × 6311
LCM(56780,56790) = 322453620