What is the Least Common Multiple of 17472 and 17489?

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 17472 and 17489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17472 and 17489, than apply into the LCM equation.

GCF(17472,17489) = 1
LCM(17472,17489) = ( 17472 × 17489) / 1
LCM(17472,17489) = 305567808 / 1
LCM(17472,17489) = 305567808

Least Common Multiple (LCM) of 17472 and 17489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17472 and 17489. First we will calculate the prime factors of 17472 and 17489.

Prime Factorization of 17472

Prime Factorization of 17489

Now multiplying the highest exponent prime factors to calculate the LCM of 17472 and 17489.

LCM(17472,17489) = 2⁶ × 3¹ × 7¹ × 13¹ × 17489¹
LCM(17472,17489) = 305567808