What is the Least Common Multiple of 22684 and 22688?

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 22684 and 22688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22684 and 22688, than apply into the LCM equation.

GCF(22684,22688) = 4
LCM(22684,22688) = ( 22684 × 22688) / 4
LCM(22684,22688) = 514654592 / 4
LCM(22684,22688) = 128663648

Least Common Multiple (LCM) of 22684 and 22688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22684 and 22688. First we will calculate the prime factors of 22684 and 22688.

Prime Factorization of 22684

Prime Factorization of 22688

Now multiplying the highest exponent prime factors to calculate the LCM of 22684 and 22688.

LCM(22684,22688) = 2⁵ × 53¹ × 107¹ × 709¹
LCM(22684,22688) = 128663648