What is the Least Common Multiple of 34096 and 34108?

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 34096 and 34108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34096 and 34108, than apply into the LCM equation.

GCF(34096,34108) = 4
LCM(34096,34108) = ( 34096 × 34108) / 4
LCM(34096,34108) = 1162946368 / 4
LCM(34096,34108) = 290736592

Least Common Multiple (LCM) of 34096 and 34108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34096 and 34108. First we will calculate the prime factors of 34096 and 34108.

Prime Factorization of 34096

Prime Factorization of 34108

Now multiplying the highest exponent prime factors to calculate the LCM of 34096 and 34108.

LCM(34096,34108) = 2⁴ × 2131¹ × 8527¹
LCM(34096,34108) = 290736592