What is the Least Common Multiple of 20138 and 20158?

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 20138 and 20158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20138 and 20158, than apply into the LCM equation.

GCF(20138,20158) = 2
LCM(20138,20158) = ( 20138 × 20158) / 2
LCM(20138,20158) = 405941804 / 2
LCM(20138,20158) = 202970902

Least Common Multiple (LCM) of 20138 and 20158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20138 and 20158. First we will calculate the prime factors of 20138 and 20158.

Prime Factorization of 20138

Prime Factorization of 20158

Now multiplying the highest exponent prime factors to calculate the LCM of 20138 and 20158.

LCM(20138,20158) = 2¹ × 10069¹ × 10079¹
LCM(20138,20158) = 202970902