What is the Least Common Multiple of 22617 and 22624?

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 22617 and 22624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22617 and 22624, than apply into the LCM equation.

GCF(22617,22624) = 7
LCM(22617,22624) = ( 22617 × 22624) / 7
LCM(22617,22624) = 511687008 / 7
LCM(22617,22624) = 73098144

Least Common Multiple (LCM) of 22617 and 22624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22617 and 22624. First we will calculate the prime factors of 22617 and 22624.

Prime Factorization of 22617

Prime Factorization of 22624

Now multiplying the highest exponent prime factors to calculate the LCM of 22617 and 22624.

LCM(22617,22624) = 3² × 7¹ × 359¹ × 2⁵ × 101¹
LCM(22617,22624) = 73098144