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What is the Least Common Multiple of 44173 and 44178?

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 44178 is 1951474794.

LCM(44173,44178) = 1951474794

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Least Common Multiple of 44173 and 44178 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 44178, than apply into the LCM equation.

GCF(44173,44178) = 1
LCM(44173,44178) = ( 44173 × 44178) / 1
LCM(44173,44178) = 1951474794 / 1
LCM(44173,44178) = 1951474794

Least Common Multiple (LCM) of 44173 and 44178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44173 and 44178. First we will calculate the prime factors of 44173 and 44178.

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 44178

Prime factors of 44178 are 2, 3, 37, 199. Prime factorization of 44178 in exponential form is:

44178 = 21 × 31 × 371 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 44173 and 44178.

LCM(44173,44178) = 1631 × 2711 × 21 × 31 × 371 × 1991
LCM(44173,44178) = 1951474794