What is the Least Common Multiple of 72720 and 72738?

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 72720 and 72738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72720 and 72738, than apply into the LCM equation.

GCF(72720,72738) = 18
LCM(72720,72738) = ( 72720 × 72738) / 18
LCM(72720,72738) = 5289507360 / 18
LCM(72720,72738) = 293861520

Least Common Multiple (LCM) of 72720 and 72738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72720 and 72738. First we will calculate the prime factors of 72720 and 72738.

Prime Factorization of 72720

Prime Factorization of 72738

Now multiplying the highest exponent prime factors to calculate the LCM of 72720 and 72738.

LCM(72720,72738) = 2⁴ × 3⁴ × 5¹ × 101¹ × 449¹
LCM(72720,72738) = 293861520