What is the Least Common Multiple of 18120 and 18140?

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 18120 and 18140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18120 and 18140, than apply into the LCM equation.

GCF(18120,18140) = 20
LCM(18120,18140) = ( 18120 × 18140) / 20
LCM(18120,18140) = 328696800 / 20
LCM(18120,18140) = 16434840

Least Common Multiple (LCM) of 18120 and 18140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18120 and 18140. First we will calculate the prime factors of 18120 and 18140.

Prime Factorization of 18120

Prime Factorization of 18140

Now multiplying the highest exponent prime factors to calculate the LCM of 18120 and 18140.

LCM(18120,18140) = 2³ × 3¹ × 5¹ × 151¹ × 907¹
LCM(18120,18140) = 16434840