What is the Least Common Multiple of 72735 and 72741?

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 72735 and 72741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72735 and 72741, than apply into the LCM equation.

GCF(72735,72741) = 3
LCM(72735,72741) = ( 72735 × 72741) / 3
LCM(72735,72741) = 5290816635 / 3
LCM(72735,72741) = 1763605545

Least Common Multiple (LCM) of 72735 and 72741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72735 and 72741. First we will calculate the prime factors of 72735 and 72741.

Prime Factorization of 72735

Prime Factorization of 72741

Now multiplying the highest exponent prime factors to calculate the LCM of 72735 and 72741.

LCM(72735,72741) = 3¹ × 5¹ × 13¹ × 373¹ × 24247¹
LCM(72735,72741) = 1763605545