What is the Least Common Multiple of 8016 and 8036?

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 8016 and 8036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8016 and 8036, than apply into the LCM equation.

GCF(8016,8036) = 4
LCM(8016,8036) = ( 8016 × 8036) / 4
LCM(8016,8036) = 64416576 / 4
LCM(8016,8036) = 16104144

Least Common Multiple (LCM) of 8016 and 8036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8016 and 8036. First we will calculate the prime factors of 8016 and 8036.

Prime Factorization of 8016

Prime Factorization of 8036

Now multiplying the highest exponent prime factors to calculate the LCM of 8016 and 8036.

LCM(8016,8036) = 2⁴ × 3¹ × 167¹ × 7² × 41¹
LCM(8016,8036) = 16104144