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What is the Least Common Multiple of 50273 and 50277?

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 50273 and 50277 is 2527575621.

LCM(50273,50277) = 2527575621

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Least Common Multiple of 50273 and 50277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50273 and 50277, than apply into the LCM equation.

GCF(50273,50277) = 1
LCM(50273,50277) = ( 50273 × 50277) / 1
LCM(50273,50277) = 2527575621 / 1
LCM(50273,50277) = 2527575621

Least Common Multiple (LCM) of 50273 and 50277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50273 and 50277. First we will calculate the prime factors of 50273 and 50277.

Prime Factorization of 50273

Prime factors of 50273 are 50273. Prime factorization of 50273 in exponential form is:

50273 = 502731

Prime Factorization of 50277

Prime factors of 50277 are 3, 16759. Prime factorization of 50277 in exponential form is:

50277 = 31 × 167591

Now multiplying the highest exponent prime factors to calculate the LCM of 50273 and 50277.

LCM(50273,50277) = 502731 × 31 × 167591
LCM(50273,50277) = 2527575621