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What is the Least Common Multiple of 50418 and 50425?

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 50418 and 50425 is 2542327650.

LCM(50418,50425) = 2542327650

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Least Common Multiple of 50418 and 50425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50418 and 50425, than apply into the LCM equation.

GCF(50418,50425) = 1
LCM(50418,50425) = ( 50418 × 50425) / 1
LCM(50418,50425) = 2542327650 / 1
LCM(50418,50425) = 2542327650

Least Common Multiple (LCM) of 50418 and 50425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50418 and 50425. First we will calculate the prime factors of 50418 and 50425.

Prime Factorization of 50418

Prime factors of 50418 are 2, 3, 2801. Prime factorization of 50418 in exponential form is:

50418 = 21 × 32 × 28011

Prime Factorization of 50425

Prime factors of 50425 are 5, 2017. Prime factorization of 50425 in exponential form is:

50425 = 52 × 20171

Now multiplying the highest exponent prime factors to calculate the LCM of 50418 and 50425.

LCM(50418,50425) = 21 × 32 × 28011 × 52 × 20171
LCM(50418,50425) = 2542327650