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What is the Least Common Multiple of 50131 and 50151?

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 50131 and 50151 is 2514119781.

LCM(50131,50151) = 2514119781

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Least Common Multiple of 50131 and 50151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50131 and 50151, than apply into the LCM equation.

GCF(50131,50151) = 1
LCM(50131,50151) = ( 50131 × 50151) / 1
LCM(50131,50151) = 2514119781 / 1
LCM(50131,50151) = 2514119781

Least Common Multiple (LCM) of 50131 and 50151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50131 and 50151. First we will calculate the prime factors of 50131 and 50151.

Prime Factorization of 50131

Prime factors of 50131 are 50131. Prime factorization of 50131 in exponential form is:

50131 = 501311

Prime Factorization of 50151

Prime factors of 50151 are 3, 73, 229. Prime factorization of 50151 in exponential form is:

50151 = 31 × 731 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 50131 and 50151.

LCM(50131,50151) = 501311 × 31 × 731 × 2291
LCM(50131,50151) = 2514119781