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What is the Least Common Multiple of 50057 and 50067?

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 50057 and 50067 is 2506203819.

LCM(50057,50067) = 2506203819

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Least Common Multiple of 50057 and 50067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50057 and 50067, than apply into the LCM equation.

GCF(50057,50067) = 1
LCM(50057,50067) = ( 50057 × 50067) / 1
LCM(50057,50067) = 2506203819 / 1
LCM(50057,50067) = 2506203819

Least Common Multiple (LCM) of 50057 and 50067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50057 and 50067. First we will calculate the prime factors of 50057 and 50067.

Prime Factorization of 50057

Prime factors of 50057 are 7, 7151. Prime factorization of 50057 in exponential form is:

50057 = 71 × 71511

Prime Factorization of 50067

Prime factors of 50067 are 3, 5563. Prime factorization of 50067 in exponential form is:

50067 = 32 × 55631

Now multiplying the highest exponent prime factors to calculate the LCM of 50057 and 50067.

LCM(50057,50067) = 71 × 71511 × 32 × 55631
LCM(50057,50067) = 2506203819