What is the Least Common Multiple of 72720 and 72737?

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 72737 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 72737, than apply into the LCM equation.

GCF(72720,72737) = 1
LCM(72720,72737) = ( 72720 × 72737) / 1
LCM(72720,72737) = 5289434640 / 1
LCM(72720,72737) = 5289434640

Least Common Multiple (LCM) of 72720 and 72737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72720 and 72737. First we will calculate the prime factors of 72720 and 72737.

Prime Factorization of 72720

Prime Factorization of 72737

Now multiplying the highest exponent prime factors to calculate the LCM of 72720 and 72737.

LCM(72720,72737) = 2⁴ × 3² × 5¹ × 101¹ × 7¹ × 10391¹
LCM(72720,72737) = 5289434640