What is the Least Common Multiple of 72735 and 72748?

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 72748 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 72748, than apply into the LCM equation.

GCF(72735,72748) = 13
LCM(72735,72748) = ( 72735 × 72748) / 13
LCM(72735,72748) = 5291325780 / 13
LCM(72735,72748) = 407025060

Least Common Multiple (LCM) of 72735 and 72748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72735 and 72748. First we will calculate the prime factors of 72735 and 72748.

Prime Factorization of 72735

Prime Factorization of 72748

Now multiplying the highest exponent prime factors to calculate the LCM of 72735 and 72748.

LCM(72735,72748) = 3¹ × 5¹ × 13¹ × 373¹ × 2² × 1399¹
LCM(72735,72748) = 407025060