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What is the Least Common Multiple of 44173 and 44177?

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 44173 and 44177 is 1951430621.

LCM(44173,44177) = 1951430621

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Least Common Multiple of 44173 and 44177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44173 and 44177, than apply into the LCM equation.

GCF(44173,44177) = 1
LCM(44173,44177) = ( 44173 × 44177) / 1
LCM(44173,44177) = 1951430621 / 1
LCM(44173,44177) = 1951430621

Least Common Multiple (LCM) of 44173 and 44177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44173 and 44177. First we will calculate the prime factors of 44173 and 44177.

Prime Factorization of 44173

Prime factors of 44173 are 163, 271. Prime factorization of 44173 in exponential form is:

44173 = 1631 × 2711

Prime Factorization of 44177

Prime factors of 44177 are 7, 6311. Prime factorization of 44177 in exponential form is:

44177 = 71 × 63111

Now multiplying the highest exponent prime factors to calculate the LCM of 44173 and 44177.

LCM(44173,44177) = 1631 × 2711 × 71 × 63111
LCM(44173,44177) = 1951430621