What is the Least Common Multiple of 20120 and 20139?

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 20120 and 20139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20120 and 20139, than apply into the LCM equation.

GCF(20120,20139) = 1
LCM(20120,20139) = ( 20120 × 20139) / 1
LCM(20120,20139) = 405196680 / 1
LCM(20120,20139) = 405196680

Least Common Multiple (LCM) of 20120 and 20139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20120 and 20139. First we will calculate the prime factors of 20120 and 20139.

Prime Factorization of 20120

Prime Factorization of 20139

Now multiplying the highest exponent prime factors to calculate the LCM of 20120 and 20139.

LCM(20120,20139) = 2³ × 5¹ × 503¹ × 3¹ × 7² × 137¹
LCM(20120,20139) = 405196680