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What is the Least Common Multiple of 50683 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 50683 and 50695 is 2569374685.

LCM(50683,50695) = 2569374685

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Least Common Multiple of 50683 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 50683 and 50695, than apply into the LCM equation.

GCF(50683,50695) = 1
LCM(50683,50695) = ( 50683 × 50695) / 1
LCM(50683,50695) = 2569374685 / 1
LCM(50683,50695) = 2569374685

Least Common Multiple (LCM) of 50683 and 50695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50683 and 50695. First we will calculate the prime factors of 50683 and 50695.

Prime Factorization of 50683

Prime factors of 50683 are 50683. Prime factorization of 50683 in exponential form is:

50683 = 506831

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 50683 and 50695.

LCM(50683,50695) = 506831 × 51 × 101391
LCM(50683,50695) = 2569374685