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What is the Least Common Multiple of 44629 and 44645?

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 44629 and 44645 is 1992461705.

LCM(44629,44645) = 1992461705

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Least Common Multiple of 44629 and 44645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44629 and 44645, than apply into the LCM equation.

GCF(44629,44645) = 1
LCM(44629,44645) = ( 44629 × 44645) / 1
LCM(44629,44645) = 1992461705 / 1
LCM(44629,44645) = 1992461705

Least Common Multiple (LCM) of 44629 and 44645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44629 and 44645. First we will calculate the prime factors of 44629 and 44645.

Prime Factorization of 44629

Prime factors of 44629 are 13, 3433. Prime factorization of 44629 in exponential form is:

44629 = 131 × 34331

Prime Factorization of 44645

Prime factors of 44645 are 5, 8929. Prime factorization of 44645 in exponential form is:

44645 = 51 × 89291

Now multiplying the highest exponent prime factors to calculate the LCM of 44629 and 44645.

LCM(44629,44645) = 131 × 34331 × 51 × 89291
LCM(44629,44645) = 1992461705