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What is the Least Common Multiple of 56641 and 56656?

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 56641 and 56656 is 3209052496.

LCM(56641,56656) = 3209052496

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Least Common Multiple of 56641 and 56656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56641 and 56656, than apply into the LCM equation.

GCF(56641,56656) = 1
LCM(56641,56656) = ( 56641 × 56656) / 1
LCM(56641,56656) = 3209052496 / 1
LCM(56641,56656) = 3209052496

Least Common Multiple (LCM) of 56641 and 56656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56641 and 56656. First we will calculate the prime factors of 56641 and 56656.

Prime Factorization of 56641

Prime factors of 56641 are 13, 4357. Prime factorization of 56641 in exponential form is:

56641 = 131 × 43571

Prime Factorization of 56656

Prime factors of 56656 are 2, 3541. Prime factorization of 56656 in exponential form is:

56656 = 24 × 35411

Now multiplying the highest exponent prime factors to calculate the LCM of 56641 and 56656.

LCM(56641,56656) = 131 × 43571 × 24 × 35411
LCM(56641,56656) = 3209052496