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What is the Least Common Multiple of 50062 and 50074?

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 50062 and 50074 is 1253402294.

LCM(50062,50074) = 1253402294

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Least Common Multiple of 50062 and 50074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50062 and 50074, than apply into the LCM equation.

GCF(50062,50074) = 2
LCM(50062,50074) = ( 50062 × 50074) / 2
LCM(50062,50074) = 2506804588 / 2
LCM(50062,50074) = 1253402294

Least Common Multiple (LCM) of 50062 and 50074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50062 and 50074. First we will calculate the prime factors of 50062 and 50074.

Prime Factorization of 50062

Prime factors of 50062 are 2, 25031. Prime factorization of 50062 in exponential form is:

50062 = 21 × 250311

Prime Factorization of 50074

Prime factors of 50074 are 2, 25037. Prime factorization of 50074 in exponential form is:

50074 = 21 × 250371

Now multiplying the highest exponent prime factors to calculate the LCM of 50062 and 50074.

LCM(50062,50074) = 21 × 250311 × 250371
LCM(50062,50074) = 1253402294