What is the Least Common Multiple of 17475 and 17484?

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 17475 and 17484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17475 and 17484, than apply into the LCM equation.

GCF(17475,17484) = 3
LCM(17475,17484) = ( 17475 × 17484) / 3
LCM(17475,17484) = 305532900 / 3
LCM(17475,17484) = 101844300

Least Common Multiple (LCM) of 17475 and 17484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17475 and 17484. First we will calculate the prime factors of 17475 and 17484.

Prime Factorization of 17475

Prime Factorization of 17484

Now multiplying the highest exponent prime factors to calculate the LCM of 17475 and 17484.

LCM(17475,17484) = 3¹ × 5² × 233¹ × 2² × 31¹ × 47¹
LCM(17475,17484) = 101844300