What is the Least Common Multiple of 22596 and 22605?

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 22596 and 22605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22596 and 22605, than apply into the LCM equation.

GCF(22596,22605) = 3
LCM(22596,22605) = ( 22596 × 22605) / 3
LCM(22596,22605) = 510782580 / 3
LCM(22596,22605) = 170260860

Least Common Multiple (LCM) of 22596 and 22605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22596 and 22605. First we will calculate the prime factors of 22596 and 22605.

Prime Factorization of 22596

Prime Factorization of 22605

Now multiplying the highest exponent prime factors to calculate the LCM of 22596 and 22605.

LCM(22596,22605) = 2² × 3¹ × 7¹ × 269¹ × 5¹ × 11¹ × 137¹
LCM(22596,22605) = 170260860