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What is the Least Common Multiple of 50608 and 50618?

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 50608 and 50618 is 1280837872.

LCM(50608,50618) = 1280837872

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Least Common Multiple of 50608 and 50618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50608 and 50618, than apply into the LCM equation.

GCF(50608,50618) = 2
LCM(50608,50618) = ( 50608 × 50618) / 2
LCM(50608,50618) = 2561675744 / 2
LCM(50608,50618) = 1280837872

Least Common Multiple (LCM) of 50608 and 50618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50608 and 50618. First we will calculate the prime factors of 50608 and 50618.

Prime Factorization of 50608

Prime factors of 50608 are 2, 3163. Prime factorization of 50608 in exponential form is:

50608 = 24 × 31631

Prime Factorization of 50618

Prime factors of 50618 are 2, 25309. Prime factorization of 50618 in exponential form is:

50618 = 21 × 253091

Now multiplying the highest exponent prime factors to calculate the LCM of 50608 and 50618.

LCM(50608,50618) = 24 × 31631 × 253091
LCM(50608,50618) = 1280837872