What is the Least Common Multiple of 35016 and 35036?

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 35016 and 35036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35016 and 35036, than apply into the LCM equation.

GCF(35016,35036) = 4
LCM(35016,35036) = ( 35016 × 35036) / 4
LCM(35016,35036) = 1226820576 / 4
LCM(35016,35036) = 306705144

Least Common Multiple (LCM) of 35016 and 35036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35016 and 35036. First we will calculate the prime factors of 35016 and 35036.

Prime Factorization of 35016

Prime Factorization of 35036

Now multiplying the highest exponent prime factors to calculate the LCM of 35016 and 35036.

LCM(35016,35036) = 2³ × 3¹ × 1459¹ × 19¹ × 461¹
LCM(35016,35036) = 306705144