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What is the Least Common Multiple of 50115 and 50124?

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 50115 and 50124 is 837321420.

LCM(50115,50124) = 837321420

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Least Common Multiple of 50115 and 50124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50115 and 50124, than apply into the LCM equation.

GCF(50115,50124) = 3
LCM(50115,50124) = ( 50115 × 50124) / 3
LCM(50115,50124) = 2511964260 / 3
LCM(50115,50124) = 837321420

Least Common Multiple (LCM) of 50115 and 50124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50115 and 50124. First we will calculate the prime factors of 50115 and 50124.

Prime Factorization of 50115

Prime factors of 50115 are 3, 5, 13, 257. Prime factorization of 50115 in exponential form is:

50115 = 31 × 51 × 131 × 2571

Prime Factorization of 50124

Prime factors of 50124 are 2, 3, 4177. Prime factorization of 50124 in exponential form is:

50124 = 22 × 31 × 41771

Now multiplying the highest exponent prime factors to calculate the LCM of 50115 and 50124.

LCM(50115,50124) = 31 × 51 × 131 × 2571 × 22 × 41771
LCM(50115,50124) = 837321420