What is the Least Common Multiple of 22688 and 22696?

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 22688 and 22696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22688 and 22696, than apply into the LCM equation.

GCF(22688,22696) = 8
LCM(22688,22696) = ( 22688 × 22696) / 8
LCM(22688,22696) = 514926848 / 8
LCM(22688,22696) = 64365856

Least Common Multiple (LCM) of 22688 and 22696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22688 and 22696. First we will calculate the prime factors of 22688 and 22696.

Prime Factorization of 22688

Prime Factorization of 22696

Now multiplying the highest exponent prime factors to calculate the LCM of 22688 and 22696.

LCM(22688,22696) = 2⁵ × 709¹ × 2837¹
LCM(22688,22696) = 64365856