What is the Least Common Multiple of 17280 and 17296?

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 17280 and 17296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17280 and 17296, than apply into the LCM equation.

GCF(17280,17296) = 16
LCM(17280,17296) = ( 17280 × 17296) / 16
LCM(17280,17296) = 298874880 / 16
LCM(17280,17296) = 18679680

Least Common Multiple (LCM) of 17280 and 17296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17280 and 17296. First we will calculate the prime factors of 17280 and 17296.

Prime Factorization of 17280

Prime Factorization of 17296

Now multiplying the highest exponent prime factors to calculate the LCM of 17280 and 17296.

LCM(17280,17296) = 2⁷ × 3³ × 5¹ × 23¹ × 47¹
LCM(17280,17296) = 18679680