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What is the Least Common Multiple of 44598 and 44607?

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 44598 and 44607 is 663127662.

LCM(44598,44607) = 663127662

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Least Common Multiple of 44598 and 44607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44598 and 44607, than apply into the LCM equation.

GCF(44598,44607) = 3
LCM(44598,44607) = ( 44598 × 44607) / 3
LCM(44598,44607) = 1989382986 / 3
LCM(44598,44607) = 663127662

Least Common Multiple (LCM) of 44598 and 44607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44598 and 44607. First we will calculate the prime factors of 44598 and 44607.

Prime Factorization of 44598

Prime factors of 44598 are 2, 3, 7433. Prime factorization of 44598 in exponential form is:

44598 = 21 × 31 × 74331

Prime Factorization of 44607

Prime factors of 44607 are 3, 14869. Prime factorization of 44607 in exponential form is:

44607 = 31 × 148691

Now multiplying the highest exponent prime factors to calculate the LCM of 44598 and 44607.

LCM(44598,44607) = 21 × 31 × 74331 × 148691
LCM(44598,44607) = 663127662