What is the Least Common Multiple of 17484 and 17493?

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 17484 and 17493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17484 and 17493, than apply into the LCM equation.

GCF(17484,17493) = 3
LCM(17484,17493) = ( 17484 × 17493) / 3
LCM(17484,17493) = 305847612 / 3
LCM(17484,17493) = 101949204

Least Common Multiple (LCM) of 17484 and 17493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17484 and 17493. First we will calculate the prime factors of 17484 and 17493.

Prime Factorization of 17484

Prime Factorization of 17493

Now multiplying the highest exponent prime factors to calculate the LCM of 17484 and 17493.

LCM(17484,17493) = 2² × 3¹ × 31¹ × 47¹ × 7³ × 17¹
LCM(17484,17493) = 101949204