What is the Least Common Multiple of 72138 and 72153?

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 72138 and 72153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72138 and 72153, than apply into the LCM equation.

GCF(72138,72153) = 3
LCM(72138,72153) = ( 72138 × 72153) / 3
LCM(72138,72153) = 5204973114 / 3
LCM(72138,72153) = 1734991038

Least Common Multiple (LCM) of 72138 and 72153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72138 and 72153. First we will calculate the prime factors of 72138 and 72153.

Prime Factorization of 72138

Prime Factorization of 72153

Now multiplying the highest exponent prime factors to calculate the LCM of 72138 and 72153.

LCM(72138,72153) = 2¹ × 3² × 11¹ × 1093¹ × 8017¹
LCM(72138,72153) = 1734991038