What is the Least Common Multiple of 22509 and 22514?

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 22509 and 22514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22509 and 22514, than apply into the LCM equation.

GCF(22509,22514) = 1
LCM(22509,22514) = ( 22509 × 22514) / 1
LCM(22509,22514) = 506767626 / 1
LCM(22509,22514) = 506767626

Least Common Multiple (LCM) of 22509 and 22514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22509 and 22514. First we will calculate the prime factors of 22509 and 22514.

Prime Factorization of 22509

Prime Factorization of 22514

Now multiplying the highest exponent prime factors to calculate the LCM of 22509 and 22514.

LCM(22509,22514) = 3² × 41¹ × 61¹ × 2¹ × 11257¹
LCM(22509,22514) = 506767626