What is the Least Common Multiple of 72792 and 72807?

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 72807 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 72807, than apply into the LCM equation.

GCF(72792,72807) = 3
LCM(72792,72807) = ( 72792 × 72807) / 3
LCM(72792,72807) = 5299767144 / 3
LCM(72792,72807) = 1766589048

Least Common Multiple (LCM) of 72792 and 72807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72792 and 72807. First we will calculate the prime factors of 72792 and 72807.

Prime Factorization of 72792

Prime Factorization of 72807

Now multiplying the highest exponent prime factors to calculate the LCM of 72792 and 72807.

LCM(72792,72807) = 2³ × 3³ × 337¹ × 7¹ × 3467¹
LCM(72792,72807) = 1766589048