What is the Least Common Multiple of 22504 and 22517?

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 22504 and 22517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22504 and 22517, than apply into the LCM equation.

GCF(22504,22517) = 1
LCM(22504,22517) = ( 22504 × 22517) / 1
LCM(22504,22517) = 506722568 / 1
LCM(22504,22517) = 506722568

Least Common Multiple (LCM) of 22504 and 22517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22504 and 22517. First we will calculate the prime factors of 22504 and 22517.

Prime Factorization of 22504

Prime Factorization of 22517

Now multiplying the highest exponent prime factors to calculate the LCM of 22504 and 22517.

LCM(22504,22517) = 2³ × 29¹ × 97¹ × 11¹ × 23¹ × 89¹
LCM(22504,22517) = 506722568