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What is the Least Common Multiple of 50387 and 50403?

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 50387 and 50403 is 2539655961.

LCM(50387,50403) = 2539655961

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Least Common Multiple of 50387 and 50403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50387 and 50403, than apply into the LCM equation.

GCF(50387,50403) = 1
LCM(50387,50403) = ( 50387 × 50403) / 1
LCM(50387,50403) = 2539655961 / 1
LCM(50387,50403) = 2539655961

Least Common Multiple (LCM) of 50387 and 50403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50387 and 50403. First we will calculate the prime factors of 50387 and 50403.

Prime Factorization of 50387

Prime factors of 50387 are 50387. Prime factorization of 50387 in exponential form is:

50387 = 503871

Prime Factorization of 50403

Prime factors of 50403 are 3, 53, 317. Prime factorization of 50403 in exponential form is:

50403 = 31 × 531 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 50387 and 50403.

LCM(50387,50403) = 503871 × 31 × 531 × 3171
LCM(50387,50403) = 2539655961