What is the Least Common Multiple of 22506 and 22511?

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 22506 and 22511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22506 and 22511, than apply into the LCM equation.

GCF(22506,22511) = 1
LCM(22506,22511) = ( 22506 × 22511) / 1
LCM(22506,22511) = 506632566 / 1
LCM(22506,22511) = 506632566

Least Common Multiple (LCM) of 22506 and 22511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22506 and 22511. First we will calculate the prime factors of 22506 and 22511.

Prime Factorization of 22506

Prime Factorization of 22511

Now multiplying the highest exponent prime factors to calculate the LCM of 22506 and 22511.

LCM(22506,22511) = 2¹ × 3¹ × 11² × 31¹ × 22511¹
LCM(22506,22511) = 506632566