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What is the Least Common Multiple of 50595 and 50615?

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 50595 and 50615 is 512173185.

LCM(50595,50615) = 512173185

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Least Common Multiple of 50595 and 50615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50595 and 50615, than apply into the LCM equation.

GCF(50595,50615) = 5
LCM(50595,50615) = ( 50595 × 50615) / 5
LCM(50595,50615) = 2560865925 / 5
LCM(50595,50615) = 512173185

Least Common Multiple (LCM) of 50595 and 50615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50595 and 50615. First we will calculate the prime factors of 50595 and 50615.

Prime Factorization of 50595

Prime factors of 50595 are 3, 5, 3373. Prime factorization of 50595 in exponential form is:

50595 = 31 × 51 × 33731

Prime Factorization of 50615

Prime factors of 50615 are 5, 53, 191. Prime factorization of 50615 in exponential form is:

50615 = 51 × 531 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 50595 and 50615.

LCM(50595,50615) = 31 × 51 × 33731 × 531 × 1911
LCM(50595,50615) = 512173185