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What is the Least Common Multiple of 44163 and 44181?

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 44163 and 44181 is 216796167.

LCM(44163,44181) = 216796167

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Least Common Multiple of 44163 and 44181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44163 and 44181, than apply into the LCM equation.

GCF(44163,44181) = 9
LCM(44163,44181) = ( 44163 × 44181) / 9
LCM(44163,44181) = 1951165503 / 9
LCM(44163,44181) = 216796167

Least Common Multiple (LCM) of 44163 and 44181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44163 and 44181. First we will calculate the prime factors of 44163 and 44181.

Prime Factorization of 44163

Prime factors of 44163 are 3, 7, 701. Prime factorization of 44163 in exponential form is:

44163 = 32 × 71 × 7011

Prime Factorization of 44181

Prime factors of 44181 are 3, 4909. Prime factorization of 44181 in exponential form is:

44181 = 32 × 49091

Now multiplying the highest exponent prime factors to calculate the LCM of 44163 and 44181.

LCM(44163,44181) = 32 × 71 × 7011 × 49091
LCM(44163,44181) = 216796167