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What is the Least Common Multiple of 50165 and 50181?

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 50165 and 50181 is 2517329865.

LCM(50165,50181) = 2517329865

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Least Common Multiple of 50165 and 50181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50165 and 50181, than apply into the LCM equation.

GCF(50165,50181) = 1
LCM(50165,50181) = ( 50165 × 50181) / 1
LCM(50165,50181) = 2517329865 / 1
LCM(50165,50181) = 2517329865

Least Common Multiple (LCM) of 50165 and 50181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50165 and 50181. First we will calculate the prime factors of 50165 and 50181.

Prime Factorization of 50165

Prime factors of 50165 are 5, 79, 127. Prime factorization of 50165 in exponential form is:

50165 = 51 × 791 × 1271

Prime Factorization of 50181

Prime factors of 50181 are 3, 43, 389. Prime factorization of 50181 in exponential form is:

50181 = 31 × 431 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 50165 and 50181.

LCM(50165,50181) = 51 × 791 × 1271 × 31 × 431 × 3891
LCM(50165,50181) = 2517329865