What is the Least Common Multiple of 43140 and 43158?

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 43140 and 43158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43140 and 43158, than apply into the LCM equation.

GCF(43140,43158) = 6
LCM(43140,43158) = ( 43140 × 43158) / 6
LCM(43140,43158) = 1861836120 / 6
LCM(43140,43158) = 310306020

Least Common Multiple (LCM) of 43140 and 43158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43140 and 43158. First we will calculate the prime factors of 43140 and 43158.

Prime Factorization of 43140

Prime Factorization of 43158

Now multiplying the highest exponent prime factors to calculate the LCM of 43140 and 43158.

LCM(43140,43158) = 2² × 3¹ × 5¹ × 719¹ × 7193¹
LCM(43140,43158) = 310306020