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What is the Least Common Multiple of 44662 and 44676?

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 44662 and 44676 is 997659756.

LCM(44662,44676) = 997659756

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Least Common Multiple of 44662 and 44676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44662 and 44676, than apply into the LCM equation.

GCF(44662,44676) = 2
LCM(44662,44676) = ( 44662 × 44676) / 2
LCM(44662,44676) = 1995319512 / 2
LCM(44662,44676) = 997659756

Least Common Multiple (LCM) of 44662 and 44676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44662 and 44676. First we will calculate the prime factors of 44662 and 44676.

Prime Factorization of 44662

Prime factors of 44662 are 2, 137, 163. Prime factorization of 44662 in exponential form is:

44662 = 21 × 1371 × 1631

Prime Factorization of 44676

Prime factors of 44676 are 2, 3, 17, 73. Prime factorization of 44676 in exponential form is:

44676 = 22 × 32 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 44662 and 44676.

LCM(44662,44676) = 22 × 1371 × 1631 × 32 × 171 × 731
LCM(44662,44676) = 997659756