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What is the Least Common Multiple of 56621 and 56626?

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 56621 and 56626 is 3206220746.

LCM(56621,56626) = 3206220746

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Least Common Multiple of 56621 and 56626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56621 and 56626, than apply into the LCM equation.

GCF(56621,56626) = 1
LCM(56621,56626) = ( 56621 × 56626) / 1
LCM(56621,56626) = 3206220746 / 1
LCM(56621,56626) = 3206220746

Least Common Multiple (LCM) of 56621 and 56626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56621 and 56626. First we will calculate the prime factors of 56621 and 56626.

Prime Factorization of 56621

Prime factors of 56621 are 41, 1381. Prime factorization of 56621 in exponential form is:

56621 = 411 × 13811

Prime Factorization of 56626

Prime factors of 56626 are 2, 23, 1231. Prime factorization of 56626 in exponential form is:

56626 = 21 × 231 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 56621 and 56626.

LCM(56621,56626) = 411 × 13811 × 21 × 231 × 12311
LCM(56621,56626) = 3206220746