What is the Least Common Multiple of 17484 and 17504?

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 17504 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 17504, than apply into the LCM equation.

GCF(17484,17504) = 4
LCM(17484,17504) = ( 17484 × 17504) / 4
LCM(17484,17504) = 306039936 / 4
LCM(17484,17504) = 76509984

Least Common Multiple (LCM) of 17484 and 17504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17484 and 17504. First we will calculate the prime factors of 17484 and 17504.

Prime Factorization of 17484

Prime Factorization of 17504

Now multiplying the highest exponent prime factors to calculate the LCM of 17484 and 17504.

LCM(17484,17504) = 2⁵ × 3¹ × 31¹ × 47¹ × 547¹
LCM(17484,17504) = 76509984