What is the Least Common Multiple of 17280 and 17297?

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 17297 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 17297, than apply into the LCM equation.

GCF(17280,17297) = 1
LCM(17280,17297) = ( 17280 × 17297) / 1
LCM(17280,17297) = 298892160 / 1
LCM(17280,17297) = 298892160

Least Common Multiple (LCM) of 17280 and 17297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17280 and 17297. First we will calculate the prime factors of 17280 and 17297.

Prime Factorization of 17280

Prime Factorization of 17297

Now multiplying the highest exponent prime factors to calculate the LCM of 17280 and 17297.

LCM(17280,17297) = 2⁷ × 3³ × 5¹ × 7² × 353¹
LCM(17280,17297) = 298892160