What is the Least Common Multiple of 22624 and 22634?

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 22624 and 22634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22624 and 22634, than apply into the LCM equation.

GCF(22624,22634) = 2
LCM(22624,22634) = ( 22624 × 22634) / 2
LCM(22624,22634) = 512071616 / 2
LCM(22624,22634) = 256035808

Least Common Multiple (LCM) of 22624 and 22634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22624 and 22634. First we will calculate the prime factors of 22624 and 22634.

Prime Factorization of 22624

Prime Factorization of 22634

Now multiplying the highest exponent prime factors to calculate the LCM of 22624 and 22634.

LCM(22624,22634) = 2⁵ × 7¹ × 101¹ × 11317¹
LCM(22624,22634) = 256035808