What is the Least Common Multiple of 32016 and 32036?

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 32016 and 32036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32016 and 32036, than apply into the LCM equation.

GCF(32016,32036) = 4
LCM(32016,32036) = ( 32016 × 32036) / 4
LCM(32016,32036) = 1025664576 / 4
LCM(32016,32036) = 256416144

Least Common Multiple (LCM) of 32016 and 32036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32016 and 32036. First we will calculate the prime factors of 32016 and 32036.

Prime Factorization of 32016

Prime Factorization of 32036

Now multiplying the highest exponent prime factors to calculate the LCM of 32016 and 32036.

LCM(32016,32036) = 2⁴ × 3¹ × 23¹ × 29¹ × 8009¹
LCM(32016,32036) = 256416144