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What is the Least Common Multiple of 56728 and 56744?

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 56728 and 56744 is 402371704.

LCM(56728,56744) = 402371704

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Least Common Multiple of 56728 and 56744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56728 and 56744, than apply into the LCM equation.

GCF(56728,56744) = 8
LCM(56728,56744) = ( 56728 × 56744) / 8
LCM(56728,56744) = 3218973632 / 8
LCM(56728,56744) = 402371704

Least Common Multiple (LCM) of 56728 and 56744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56728 and 56744. First we will calculate the prime factors of 56728 and 56744.

Prime Factorization of 56728

Prime factors of 56728 are 2, 7, 1013. Prime factorization of 56728 in exponential form is:

56728 = 23 × 71 × 10131

Prime Factorization of 56744

Prime factors of 56744 are 2, 41, 173. Prime factorization of 56744 in exponential form is:

56744 = 23 × 411 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 56728 and 56744.

LCM(56728,56744) = 23 × 71 × 10131 × 411 × 1731
LCM(56728,56744) = 402371704