What is the Least Common Multiple of 72126 and 72146?

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 72126 and 72146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72126 and 72146, than apply into the LCM equation.

GCF(72126,72146) = 2
LCM(72126,72146) = ( 72126 × 72146) / 2
LCM(72126,72146) = 5203602396 / 2
LCM(72126,72146) = 2601801198

Least Common Multiple (LCM) of 72126 and 72146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72126 and 72146. First we will calculate the prime factors of 72126 and 72146.

Prime Factorization of 72126

Prime Factorization of 72146

Now multiplying the highest exponent prime factors to calculate the LCM of 72126 and 72146.

LCM(72126,72146) = 2¹ × 3² × 4007¹ × 36073¹
LCM(72126,72146) = 2601801198