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What is the Least Common Multiple of 44162 and 44173?

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 44162 and 44173 is 1950768026.

LCM(44162,44173) = 1950768026

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Least Common Multiple of 44162 and 44173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44162 and 44173, than apply into the LCM equation.

GCF(44162,44173) = 1
LCM(44162,44173) = ( 44162 × 44173) / 1
LCM(44162,44173) = 1950768026 / 1
LCM(44162,44173) = 1950768026

Least Common Multiple (LCM) of 44162 and 44173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44162 and 44173. First we will calculate the prime factors of 44162 and 44173.

Prime Factorization of 44162

Prime factors of 44162 are 2, 71, 311. Prime factorization of 44162 in exponential form is:

44162 = 21 × 711 × 3111

Prime Factorization of 44173

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

44173 = 1631 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 44162 and 44173.

LCM(44162,44173) = 21 × 711 × 3111 × 1631 × 2711
LCM(44162,44173) = 1950768026