What is the Least Common Multiple of 20123 and 20136?

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 20123 and 20136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20123 and 20136, than apply into the LCM equation.

GCF(20123,20136) = 1
LCM(20123,20136) = ( 20123 × 20136) / 1
LCM(20123,20136) = 405196728 / 1
LCM(20123,20136) = 405196728

Least Common Multiple (LCM) of 20123 and 20136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20123 and 20136. First we will calculate the prime factors of 20123 and 20136.

Prime Factorization of 20123

Prime Factorization of 20136

Now multiplying the highest exponent prime factors to calculate the LCM of 20123 and 20136.

LCM(20123,20136) = 20123¹ × 2³ × 3¹ × 839¹
LCM(20123,20136) = 405196728