What is the Least Common Multiple of 72792 and 72797?

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 72792 and 72797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72792 and 72797, than apply into the LCM equation.

GCF(72792,72797) = 1
LCM(72792,72797) = ( 72792 × 72797) / 1
LCM(72792,72797) = 5299039224 / 1
LCM(72792,72797) = 5299039224

Least Common Multiple (LCM) of 72792 and 72797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72792 and 72797. First we will calculate the prime factors of 72792 and 72797.

Prime Factorization of 72792

Prime Factorization of 72797

Now multiplying the highest exponent prime factors to calculate the LCM of 72792 and 72797.

LCM(72792,72797) = 2³ × 3³ × 337¹ × 72797¹
LCM(72792,72797) = 5299039224