What is the Least Common Multiple of 50272 and 50280?

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 50280 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 50280, than apply into the LCM equation.

GCF(50272,50280) = 8
LCM(50272,50280) = ( 50272 × 50280) / 8
LCM(50272,50280) = 2527676160 / 8
LCM(50272,50280) = 315959520

Least Common Multiple (LCM) of 50272 and 50280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50272 and 50280. First we will calculate the prime factors of 50272 and 50280.

Prime Factorization of 50272

Prime Factorization of 50280

Now multiplying the highest exponent prime factors to calculate the LCM of 50272 and 50280.

LCM(50272,50280) = 2⁵ × 1571¹ × 3¹ × 5¹ × 419¹
LCM(50272,50280) = 315959520