What is the Least Common Multiple of 83280 and 83299?

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 83299 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 83299, than apply into the LCM equation.

GCF(83280,83299) = 1
LCM(83280,83299) = ( 83280 × 83299) / 1
LCM(83280,83299) = 6937140720 / 1
LCM(83280,83299) = 6937140720

Least Common Multiple (LCM) of 83280 and 83299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83280 and 83299. First we will calculate the prime factors of 83280 and 83299.

Prime Factorization of 83280

Prime Factorization of 83299

Now multiplying the highest exponent prime factors to calculate the LCM of 83280 and 83299.

LCM(83280,83299) = 2⁴ × 3¹ × 5¹ × 347¹ × 83299¹
LCM(83280,83299) = 6937140720