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What is the Least Common Multiple of 56729 and 56746?

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 56729 and 56746 is 189361402.

LCM(56729,56746) = 189361402

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Least Common Multiple of 56729 and 56746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56729 and 56746, than apply into the LCM equation.

GCF(56729,56746) = 17
LCM(56729,56746) = ( 56729 × 56746) / 17
LCM(56729,56746) = 3219143834 / 17
LCM(56729,56746) = 189361402

Least Common Multiple (LCM) of 56729 and 56746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56729 and 56746. First we will calculate the prime factors of 56729 and 56746.

Prime Factorization of 56729

Prime factors of 56729 are 17, 47, 71. Prime factorization of 56729 in exponential form is:

56729 = 171 × 471 × 711

Prime Factorization of 56746

Prime factors of 56746 are 2, 17, 1669. Prime factorization of 56746 in exponential form is:

56746 = 21 × 171 × 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 56729 and 56746.

LCM(56729,56746) = 171 × 471 × 711 × 21 × 16691
LCM(56729,56746) = 189361402