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What is the Least Common Multiple of 41621 and 41627?

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 41621 and 41627 is 1732557367.

LCM(41621,41627) = 1732557367

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Least Common Multiple of 41621 and 41627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41621 and 41627, than apply into the LCM equation.

GCF(41621,41627) = 1
LCM(41621,41627) = ( 41621 × 41627) / 1
LCM(41621,41627) = 1732557367 / 1
LCM(41621,41627) = 1732557367

Least Common Multiple (LCM) of 41621 and 41627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41621 and 41627. First we will calculate the prime factors of 41621 and 41627.

Prime Factorization of 41621

Prime factors of 41621 are 41621. Prime factorization of 41621 in exponential form is:

41621 = 416211

Prime Factorization of 41627

Prime factors of 41627 are 41627. Prime factorization of 41627 in exponential form is:

41627 = 416271

Now multiplying the highest exponent prime factors to calculate the LCM of 41621 and 41627.

LCM(41621,41627) = 416211 × 416271
LCM(41621,41627) = 1732557367