What is the Least Common Multiple of 72135 and 72142?

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 72135 and 72142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72135 and 72142, than apply into the LCM equation.

GCF(72135,72142) = 7
LCM(72135,72142) = ( 72135 × 72142) / 7
LCM(72135,72142) = 5203963170 / 7
LCM(72135,72142) = 743423310

Least Common Multiple (LCM) of 72135 and 72142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72135 and 72142. First we will calculate the prime factors of 72135 and 72142.

Prime Factorization of 72135

Prime Factorization of 72142

Now multiplying the highest exponent prime factors to calculate the LCM of 72135 and 72142.

LCM(72135,72142) = 3² × 5¹ × 7¹ × 229¹ × 2¹ × 5153¹
LCM(72135,72142) = 743423310