What is the Least Common Multiple of 55016 and 55036?

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 55016 and 55036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55016 and 55036, than apply into the LCM equation.

GCF(55016,55036) = 4
LCM(55016,55036) = ( 55016 × 55036) / 4
LCM(55016,55036) = 3027860576 / 4
LCM(55016,55036) = 756965144

Least Common Multiple (LCM) of 55016 and 55036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55016 and 55036. First we will calculate the prime factors of 55016 and 55036.

Prime Factorization of 55016

Prime Factorization of 55036

Now multiplying the highest exponent prime factors to calculate the LCM of 55016 and 55036.

LCM(55016,55036) = 2³ × 13¹ × 23² × 13759¹
LCM(55016,55036) = 756965144