What is the Least Common Multiple of 34032 and 34036?

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 34032 and 34036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34032 and 34036, than apply into the LCM equation.

GCF(34032,34036) = 4
LCM(34032,34036) = ( 34032 × 34036) / 4
LCM(34032,34036) = 1158313152 / 4
LCM(34032,34036) = 289578288

Least Common Multiple (LCM) of 34032 and 34036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34032 and 34036. First we will calculate the prime factors of 34032 and 34036.

Prime Factorization of 34032

Prime Factorization of 34036

Now multiplying the highest exponent prime factors to calculate the LCM of 34032 and 34036.

LCM(34032,34036) = 2⁴ × 3¹ × 709¹ × 67¹ × 127¹
LCM(34032,34036) = 289578288