What is the Least Common Multiple of 78999 and 79008?

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 78999 and 79008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78999 and 79008, than apply into the LCM equation.

GCF(78999,79008) = 3
LCM(78999,79008) = ( 78999 × 79008) / 3
LCM(78999,79008) = 6241552992 / 3
LCM(78999,79008) = 2080517664

Least Common Multiple (LCM) of 78999 and 79008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78999 and 79008. First we will calculate the prime factors of 78999 and 79008.

Prime Factorization of 78999

Prime Factorization of 79008

Now multiplying the highest exponent prime factors to calculate the LCM of 78999 and 79008.

LCM(78999,79008) = 3¹ × 17¹ × 1549¹ × 2⁵ × 823¹
LCM(78999,79008) = 2080517664