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What is the Least Common Multiple of 50687 and 50695?

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 50687 and 50695 is 2569577465.

LCM(50687,50695) = 2569577465

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Least Common Multiple of 50687 and 50695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50687 and 50695, than apply into the LCM equation.

GCF(50687,50695) = 1
LCM(50687,50695) = ( 50687 × 50695) / 1
LCM(50687,50695) = 2569577465 / 1
LCM(50687,50695) = 2569577465

Least Common Multiple (LCM) of 50687 and 50695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50687 and 50695. First we will calculate the prime factors of 50687 and 50695.

Prime Factorization of 50687

Prime factors of 50687 are 7, 13, 557. Prime factorization of 50687 in exponential form is:

50687 = 71 × 131 × 5571

Prime Factorization of 50695

Prime factors of 50695 are 5, 10139. Prime factorization of 50695 in exponential form is:

50695 = 51 × 101391

Now multiplying the highest exponent prime factors to calculate the LCM of 50687 and 50695.

LCM(50687,50695) = 71 × 131 × 5571 × 51 × 101391
LCM(50687,50695) = 2569577465