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What is the Least Common Multiple of 50773 and 50790?

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 50773 and 50790 is 2578760670.

LCM(50773,50790) = 2578760670

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Least Common Multiple of 50773 and 50790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50773 and 50790, than apply into the LCM equation.

GCF(50773,50790) = 1
LCM(50773,50790) = ( 50773 × 50790) / 1
LCM(50773,50790) = 2578760670 / 1
LCM(50773,50790) = 2578760670

Least Common Multiple (LCM) of 50773 and 50790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50773 and 50790. First we will calculate the prime factors of 50773 and 50790.

Prime Factorization of 50773

Prime factors of 50773 are 50773. Prime factorization of 50773 in exponential form is:

50773 = 507731

Prime Factorization of 50790

Prime factors of 50790 are 2, 3, 5, 1693. Prime factorization of 50790 in exponential form is:

50790 = 21 × 31 × 51 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 50773 and 50790.

LCM(50773,50790) = 507731 × 21 × 31 × 51 × 16931
LCM(50773,50790) = 2578760670