What is the Least Common Multiple of 28096 and 28108?

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 28096 and 28108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28096 and 28108, than apply into the LCM equation.

GCF(28096,28108) = 4
LCM(28096,28108) = ( 28096 × 28108) / 4
LCM(28096,28108) = 789722368 / 4
LCM(28096,28108) = 197430592

Least Common Multiple (LCM) of 28096 and 28108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28096 and 28108. First we will calculate the prime factors of 28096 and 28108.

Prime Factorization of 28096

Prime Factorization of 28108

Now multiplying the highest exponent prime factors to calculate the LCM of 28096 and 28108.

LCM(28096,28108) = 2⁶ × 439¹ × 7027¹
LCM(28096,28108) = 197430592