What is the Least Common Multiple of 28096 and 28109?

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 28109 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 28109, than apply into the LCM equation.

GCF(28096,28109) = 1
LCM(28096,28109) = ( 28096 × 28109) / 1
LCM(28096,28109) = 789750464 / 1
LCM(28096,28109) = 789750464

Least Common Multiple (LCM) of 28096 and 28109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28096 and 28109. First we will calculate the prime factors of 28096 and 28109.

Prime Factorization of 28096

Prime Factorization of 28109

Now multiplying the highest exponent prime factors to calculate the LCM of 28096 and 28109.

LCM(28096,28109) = 2⁶ × 439¹ × 28109¹
LCM(28096,28109) = 789750464