What is the Least Common Multiple of 32096 and 32108?

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 32096 and 32108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32096 and 32108, than apply into the LCM equation.

GCF(32096,32108) = 4
LCM(32096,32108) = ( 32096 × 32108) / 4
LCM(32096,32108) = 1030538368 / 4
LCM(32096,32108) = 257634592

Least Common Multiple (LCM) of 32096 and 32108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32096 and 32108. First we will calculate the prime factors of 32096 and 32108.

Prime Factorization of 32096

Prime Factorization of 32108

Now multiplying the highest exponent prime factors to calculate the LCM of 32096 and 32108.

LCM(32096,32108) = 2⁵ × 17¹ × 59¹ × 23¹ × 349¹
LCM(32096,32108) = 257634592