What is the Least Common Multiple of 50112 and 50128?

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 50112 and 50128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50112 and 50128, than apply into the LCM equation.

GCF(50112,50128) = 16
LCM(50112,50128) = ( 50112 × 50128) / 16
LCM(50112,50128) = 2512014336 / 16
LCM(50112,50128) = 157000896

Least Common Multiple (LCM) of 50112 and 50128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50112 and 50128. First we will calculate the prime factors of 50112 and 50128.

Prime Factorization of 50112

Prime Factorization of 50128

Now multiplying the highest exponent prime factors to calculate the LCM of 50112 and 50128.

LCM(50112,50128) = 2⁶ × 3³ × 29¹ × 13¹ × 241¹
LCM(50112,50128) = 157000896