What is the Least Common Multiple of 79008 and 79016?

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 79008 and 79016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79008 and 79016, than apply into the LCM equation.

GCF(79008,79016) = 8
LCM(79008,79016) = ( 79008 × 79016) / 8
LCM(79008,79016) = 6242896128 / 8
LCM(79008,79016) = 780362016

Least Common Multiple (LCM) of 79008 and 79016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79008 and 79016. First we will calculate the prime factors of 79008 and 79016.

Prime Factorization of 79008

Prime Factorization of 79016

Now multiplying the highest exponent prime factors to calculate the LCM of 79008 and 79016.

LCM(79008,79016) = 2⁵ × 3¹ × 823¹ × 7¹ × 17¹ × 83¹
LCM(79008,79016) = 780362016