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What is the Least Common Multiple of 50377 and 50383?

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 50377 and 50383 is 2538144391.

LCM(50377,50383) = 2538144391

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Least Common Multiple of 50377 and 50383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50377 and 50383, than apply into the LCM equation.

GCF(50377,50383) = 1
LCM(50377,50383) = ( 50377 × 50383) / 1
LCM(50377,50383) = 2538144391 / 1
LCM(50377,50383) = 2538144391

Least Common Multiple (LCM) of 50377 and 50383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50377 and 50383. First we will calculate the prime factors of 50377 and 50383.

Prime Factorization of 50377

Prime factors of 50377 are 50377. Prime factorization of 50377 in exponential form is:

50377 = 503771

Prime Factorization of 50383

Prime factors of 50383 are 50383. Prime factorization of 50383 in exponential form is:

50383 = 503831

Now multiplying the highest exponent prime factors to calculate the LCM of 50377 and 50383.

LCM(50377,50383) = 503771 × 503831
LCM(50377,50383) = 2538144391