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What is the Least Common Multiple of 44813 and 44825?

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 44813 and 44825 is 2008742725.

LCM(44813,44825) = 2008742725

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Least Common Multiple of 44813 and 44825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44813 and 44825, than apply into the LCM equation.

GCF(44813,44825) = 1
LCM(44813,44825) = ( 44813 × 44825) / 1
LCM(44813,44825) = 2008742725 / 1
LCM(44813,44825) = 2008742725

Least Common Multiple (LCM) of 44813 and 44825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44813 and 44825. First we will calculate the prime factors of 44813 and 44825.

Prime Factorization of 44813

Prime factors of 44813 are 41, 1093. Prime factorization of 44813 in exponential form is:

44813 = 411 × 10931

Prime Factorization of 44825

Prime factors of 44825 are 5, 11, 163. Prime factorization of 44825 in exponential form is:

44825 = 52 × 111 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 44813 and 44825.

LCM(44813,44825) = 411 × 10931 × 52 × 111 × 1631
LCM(44813,44825) = 2008742725