What is the Least Common Multiple of 20139 and 20144?

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 20139 and 20144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20139 and 20144, than apply into the LCM equation.

GCF(20139,20144) = 1
LCM(20139,20144) = ( 20139 × 20144) / 1
LCM(20139,20144) = 405680016 / 1
LCM(20139,20144) = 405680016

Least Common Multiple (LCM) of 20139 and 20144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20139 and 20144. First we will calculate the prime factors of 20139 and 20144.

Prime Factorization of 20139

Prime Factorization of 20144

Now multiplying the highest exponent prime factors to calculate the LCM of 20139 and 20144.

LCM(20139,20144) = 3¹ × 7² × 137¹ × 2⁴ × 1259¹
LCM(20139,20144) = 405680016