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What is the Least Common Multiple of 28621 and 28641?

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 28621 and 28641 is 819734061.

LCM(28621,28641) = 819734061

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Least Common Multiple of 28621 and 28641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28621 and 28641, than apply into the LCM equation.

GCF(28621,28641) = 1
LCM(28621,28641) = ( 28621 × 28641) / 1
LCM(28621,28641) = 819734061 / 1
LCM(28621,28641) = 819734061

Least Common Multiple (LCM) of 28621 and 28641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28621 and 28641. First we will calculate the prime factors of 28621 and 28641.

Prime Factorization of 28621

Prime factors of 28621 are 28621. Prime factorization of 28621 in exponential form is:

28621 = 286211

Prime Factorization of 28641

Prime factors of 28641 are 3, 9547. Prime factorization of 28641 in exponential form is:

28641 = 31 × 95471

Now multiplying the highest exponent prime factors to calculate the LCM of 28621 and 28641.

LCM(28621,28641) = 286211 × 31 × 95471
LCM(28621,28641) = 819734061