What is the Least Common Multiple of 50096 and 50114?

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 50096 and 50114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50096 and 50114, than apply into the LCM equation.

GCF(50096,50114) = 2
LCM(50096,50114) = ( 50096 × 50114) / 2
LCM(50096,50114) = 2510510944 / 2
LCM(50096,50114) = 1255255472

Least Common Multiple (LCM) of 50096 and 50114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50096 and 50114. First we will calculate the prime factors of 50096 and 50114.

Prime Factorization of 50096

Prime Factorization of 50114

Now multiplying the highest exponent prime factors to calculate the LCM of 50096 and 50114.

LCM(50096,50114) = 2⁴ × 31¹ × 101¹ × 25057¹
LCM(50096,50114) = 1255255472