What is the Least Common Multiple of 72792 and 72811?

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 72811 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 72811, than apply into the LCM equation.

GCF(72792,72811) = 1
LCM(72792,72811) = ( 72792 × 72811) / 1
LCM(72792,72811) = 5300058312 / 1
LCM(72792,72811) = 5300058312

Least Common Multiple (LCM) of 72792 and 72811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72792 and 72811. First we will calculate the prime factors of 72792 and 72811.

Prime Factorization of 72792

Prime Factorization of 72811

Now multiplying the highest exponent prime factors to calculate the LCM of 72792 and 72811.

LCM(72792,72811) = 2³ × 3³ × 337¹ × 17¹ × 4283¹
LCM(72792,72811) = 5300058312