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What is the Least Common Multiple of 44163 and 44183?

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 44183 is 1951253829.

LCM(44163,44183) = 1951253829

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Least Common Multiple of 44163 and 44183 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 44183, than apply into the LCM equation.

GCF(44163,44183) = 1
LCM(44163,44183) = ( 44163 × 44183) / 1
LCM(44163,44183) = 1951253829 / 1
LCM(44163,44183) = 1951253829

Least Common Multiple (LCM) of 44163 and 44183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44163 and 44183. First we will calculate the prime factors of 44163 and 44183.

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 44183

Prime factors of 44183 are 17, 23, 113. Prime factorization of 44183 in exponential form is:

44183 = 171 × 231 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 44163 and 44183.

LCM(44163,44183) = 32 × 71 × 7011 × 171 × 231 × 1131
LCM(44163,44183) = 1951253829