What is the Least Common Multiple of 22624 and 22631?

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 22631 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 22631, than apply into the LCM equation.

GCF(22624,22631) = 7
LCM(22624,22631) = ( 22624 × 22631) / 7
LCM(22624,22631) = 512003744 / 7
LCM(22624,22631) = 73143392

Least Common Multiple (LCM) of 22624 and 22631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22624 and 22631. First we will calculate the prime factors of 22624 and 22631.

Prime Factorization of 22624

Prime Factorization of 22631

Now multiplying the highest exponent prime factors to calculate the LCM of 22624 and 22631.

LCM(22624,22631) = 2⁵ × 7¹ × 101¹ × 53¹ × 61¹
LCM(22624,22631) = 73143392