What is the Least Common Multiple of 83280 and 83289?

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 83280 and 83289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83280 and 83289, than apply into the LCM equation.

GCF(83280,83289) = 3
LCM(83280,83289) = ( 83280 × 83289) / 3
LCM(83280,83289) = 6936307920 / 3
LCM(83280,83289) = 2312102640

Least Common Multiple (LCM) of 83280 and 83289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83280 and 83289. First we will calculate the prime factors of 83280 and 83289.

Prime Factorization of 83280

Prime Factorization of 83289

Now multiplying the highest exponent prime factors to calculate the LCM of 83280 and 83289.

LCM(83280,83289) = 2⁴ × 3¹ × 5¹ × 347¹ × 27763¹
LCM(83280,83289) = 2312102640