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What is the Least Common Multiple of 56621 and 56629?

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 56629 is 3206390609.

LCM(56621,56629) = 3206390609

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Least Common Multiple of 56621 and 56629 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 56629, than apply into the LCM equation.

GCF(56621,56629) = 1
LCM(56621,56629) = ( 56621 × 56629) / 1
LCM(56621,56629) = 3206390609 / 1
LCM(56621,56629) = 3206390609

Least Common Multiple (LCM) of 56621 and 56629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56621 and 56629. First we will calculate the prime factors of 56621 and 56629.

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 56629

Prime factors of 56629 are 56629. Prime factorization of 56629 in exponential form is:

56629 = 566291

Now multiplying the highest exponent prime factors to calculate the LCM of 56621 and 56629.

LCM(56621,56629) = 411 × 13811 × 566291
LCM(56621,56629) = 3206390609