What is the Least Common Multiple of 78792 and 78807?

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 78792 and 78807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78792 and 78807, than apply into the LCM equation.

GCF(78792,78807) = 3
LCM(78792,78807) = ( 78792 × 78807) / 3
LCM(78792,78807) = 6209361144 / 3
LCM(78792,78807) = 2069787048

Least Common Multiple (LCM) of 78792 and 78807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78792 and 78807. First we will calculate the prime factors of 78792 and 78807.

Prime Factorization of 78792

Prime Factorization of 78807

Now multiplying the highest exponent prime factors to calculate the LCM of 78792 and 78807.

LCM(78792,78807) = 2³ × 3¹ × 7² × 67¹ × 109¹ × 241¹
LCM(78792,78807) = 2069787048