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What is the Least Common Multiple of 44673 and 44690?

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 44673 and 44690 is 1996436370.

LCM(44673,44690) = 1996436370

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Least Common Multiple of 44673 and 44690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44673 and 44690, than apply into the LCM equation.

GCF(44673,44690) = 1
LCM(44673,44690) = ( 44673 × 44690) / 1
LCM(44673,44690) = 1996436370 / 1
LCM(44673,44690) = 1996436370

Least Common Multiple (LCM) of 44673 and 44690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44673 and 44690. First we will calculate the prime factors of 44673 and 44690.

Prime Factorization of 44673

Prime factors of 44673 are 3, 14891. Prime factorization of 44673 in exponential form is:

44673 = 31 × 148911

Prime Factorization of 44690

Prime factors of 44690 are 2, 5, 41, 109. Prime factorization of 44690 in exponential form is:

44690 = 21 × 51 × 411 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 44673 and 44690.

LCM(44673,44690) = 31 × 148911 × 21 × 51 × 411 × 1091
LCM(44673,44690) = 1996436370