What is the Least Common Multiple of 72729 and 72735?

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 72729 and 72735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72729 and 72735, than apply into the LCM equation.

GCF(72729,72735) = 3
LCM(72729,72735) = ( 72729 × 72735) / 3
LCM(72729,72735) = 5289943815 / 3
LCM(72729,72735) = 1763314605

Least Common Multiple (LCM) of 72729 and 72735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72729 and 72735. First we will calculate the prime factors of 72729 and 72735.

Prime Factorization of 72729

Prime Factorization of 72735

Now multiplying the highest exponent prime factors to calculate the LCM of 72729 and 72735.

LCM(72729,72735) = 3² × 8081¹ × 5¹ × 13¹ × 373¹
LCM(72729,72735) = 1763314605