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What is the Least Common Multiple of 50121 and 50136?

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 50121 and 50136 is 837622152.

LCM(50121,50136) = 837622152

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Least Common Multiple of 50121 and 50136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50121 and 50136, than apply into the LCM equation.

GCF(50121,50136) = 3
LCM(50121,50136) = ( 50121 × 50136) / 3
LCM(50121,50136) = 2512866456 / 3
LCM(50121,50136) = 837622152

Least Common Multiple (LCM) of 50121 and 50136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50121 and 50136. First we will calculate the prime factors of 50121 and 50136.

Prime Factorization of 50121

Prime factors of 50121 are 3, 5569. Prime factorization of 50121 in exponential form is:

50121 = 32 × 55691

Prime Factorization of 50136

Prime factors of 50136 are 2, 3, 2089. Prime factorization of 50136 in exponential form is:

50136 = 23 × 31 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 50121 and 50136.

LCM(50121,50136) = 32 × 55691 × 23 × 20891
LCM(50121,50136) = 837622152