What is the Least Common Multiple of 50008 and 50022?

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 50008 and 50022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50008 and 50022, than apply into the LCM equation.

GCF(50008,50022) = 14
LCM(50008,50022) = ( 50008 × 50022) / 14
LCM(50008,50022) = 2501500176 / 14
LCM(50008,50022) = 178678584

Least Common Multiple (LCM) of 50008 and 50022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50008 and 50022. First we will calculate the prime factors of 50008 and 50022.

Prime Factorization of 50008

Prime Factorization of 50022

Now multiplying the highest exponent prime factors to calculate the LCM of 50008 and 50022.

LCM(50008,50022) = 2³ × 7¹ × 19¹ × 47¹ × 3² × 397¹
LCM(50008,50022) = 178678584