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What is the Least Common Multiple of 50608 and 50626?

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 50626 is 1281040304.

LCM(50608,50626) = 1281040304

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Least Common Multiple of 50608 and 50626 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 50626, than apply into the LCM equation.

GCF(50608,50626) = 2
LCM(50608,50626) = ( 50608 × 50626) / 2
LCM(50608,50626) = 2562080608 / 2
LCM(50608,50626) = 1281040304

Least Common Multiple (LCM) of 50608 and 50626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50608 and 50626. First we will calculate the prime factors of 50608 and 50626.

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 50626

Prime factors of 50626 are 2, 17, 1489. Prime factorization of 50626 in exponential form is:

50626 = 21 × 171 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 50608 and 50626.

LCM(50608,50626) = 24 × 31631 × 171 × 14891
LCM(50608,50626) = 1281040304