What is the Least Common Multiple of 5280 and 5289?

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 5280 and 5289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5280 and 5289, than apply into the LCM equation.

GCF(5280,5289) = 3
LCM(5280,5289) = ( 5280 × 5289) / 3
LCM(5280,5289) = 27925920 / 3
LCM(5280,5289) = 9308640

Least Common Multiple (LCM) of 5280 and 5289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5280 and 5289. First we will calculate the prime factors of 5280 and 5289.

Prime Factorization of 5280

Prime Factorization of 5289

Now multiplying the highest exponent prime factors to calculate the LCM of 5280 and 5289.

LCM(5280,5289) = 2⁵ × 3¹ × 5¹ × 11¹ × 41¹ × 43¹
LCM(5280,5289) = 9308640