What is the Least Common Multiple of 72709 and 72728?

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 72709 and 72728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72709 and 72728, than apply into the LCM equation.

GCF(72709,72728) = 1
LCM(72709,72728) = ( 72709 × 72728) / 1
LCM(72709,72728) = 5287980152 / 1
LCM(72709,72728) = 5287980152

Least Common Multiple (LCM) of 72709 and 72728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72709 and 72728. First we will calculate the prime factors of 72709 and 72728.

Prime Factorization of 72709

Prime Factorization of 72728

Now multiplying the highest exponent prime factors to calculate the LCM of 72709 and 72728.

LCM(72709,72728) = 7¹ × 13¹ × 17¹ × 47¹ × 2³ × 9091¹
LCM(72709,72728) = 5287980152