What is the Least Common Multiple of 17472 and 17488?

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 17488 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 17488, than apply into the LCM equation.

GCF(17472,17488) = 16
LCM(17472,17488) = ( 17472 × 17488) / 16
LCM(17472,17488) = 305550336 / 16
LCM(17472,17488) = 19096896

Least Common Multiple (LCM) of 17472 and 17488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17472 and 17488. First we will calculate the prime factors of 17472 and 17488.

Prime Factorization of 17472

Prime Factorization of 17488

Now multiplying the highest exponent prime factors to calculate the LCM of 17472 and 17488.

LCM(17472,17488) = 2⁶ × 3¹ × 7¹ × 13¹ × 1093¹
LCM(17472,17488) = 19096896