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What is the Least Common Multiple of 50679 and 50683?

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 50679 and 50683 is 2568563757.

LCM(50679,50683) = 2568563757

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Least Common Multiple of 50679 and 50683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50679 and 50683, than apply into the LCM equation.

GCF(50679,50683) = 1
LCM(50679,50683) = ( 50679 × 50683) / 1
LCM(50679,50683) = 2568563757 / 1
LCM(50679,50683) = 2568563757

Least Common Multiple (LCM) of 50679 and 50683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50679 and 50683. First we will calculate the prime factors of 50679 and 50683.

Prime Factorization of 50679

Prime factors of 50679 are 3, 1877. Prime factorization of 50679 in exponential form is:

50679 = 33 × 18771

Prime Factorization of 50683

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

50683 = 506831

Now multiplying the highest exponent prime factors to calculate the LCM of 50679 and 50683.

LCM(50679,50683) = 33 × 18771 × 506831
LCM(50679,50683) = 2568563757