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What is the Least Common Multiple of 38139 and 38151?

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 38139 and 38151 is 485013663.

LCM(38139,38151) = 485013663

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Least Common Multiple of 38139 and 38151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38139 and 38151, than apply into the LCM equation.

GCF(38139,38151) = 3
LCM(38139,38151) = ( 38139 × 38151) / 3
LCM(38139,38151) = 1455040989 / 3
LCM(38139,38151) = 485013663

Least Common Multiple (LCM) of 38139 and 38151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38139 and 38151. First we will calculate the prime factors of 38139 and 38151.

Prime Factorization of 38139

Prime factors of 38139 are 3, 12713. Prime factorization of 38139 in exponential form is:

38139 = 31 × 127131

Prime Factorization of 38151

Prime factors of 38151 are 3, 157. Prime factorization of 38151 in exponential form is:

38151 = 35 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 38139 and 38151.

LCM(38139,38151) = 35 × 127131 × 1571
LCM(38139,38151) = 485013663