What is the Least Common Multiple of 72153 and 72168?

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 72153 and 72168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72153 and 72168, than apply into the LCM equation.

GCF(72153,72168) = 3
LCM(72153,72168) = ( 72153 × 72168) / 3
LCM(72153,72168) = 5207137704 / 3
LCM(72153,72168) = 1735712568

Least Common Multiple (LCM) of 72153 and 72168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72153 and 72168. First we will calculate the prime factors of 72153 and 72168.

Prime Factorization of 72153

Prime Factorization of 72168

Now multiplying the highest exponent prime factors to calculate the LCM of 72153 and 72168.

LCM(72153,72168) = 3² × 8017¹ × 2³ × 31¹ × 97¹
LCM(72153,72168) = 1735712568