What is the Least Common Multiple of 50272 and 50278?

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 of 50272 and 50278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50272 and 50278, than apply into the LCM equation.

GCF(50272,50278) = 2
LCM(50272,50278) = ( 50272 × 50278) / 2
LCM(50272,50278) = 2527575616 / 2
LCM(50272,50278) = 1263787808

Least Common Multiple (LCM) of 50272 and 50278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50272 and 50278. First we will calculate the prime factors of 50272 and 50278.

Prime Factorization of 50272

Prime Factorization of 50278

Now multiplying the highest exponent prime factors to calculate the LCM of 50272 and 50278.

LCM(50272,50278) = 2⁵ × 1571¹ × 23¹ × 1093¹
LCM(50272,50278) = 1263787808