What is the Least Common Multiple of 83296 and 83309?

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 83296 and 83309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83296 and 83309, than apply into the LCM equation.

GCF(83296,83309) = 1
LCM(83296,83309) = ( 83296 × 83309) / 1
LCM(83296,83309) = 6939306464 / 1
LCM(83296,83309) = 6939306464

Least Common Multiple (LCM) of 83296 and 83309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83296 and 83309. First we will calculate the prime factors of 83296 and 83309.

Prime Factorization of 83296

Prime Factorization of 83309

Now multiplying the highest exponent prime factors to calculate the LCM of 83296 and 83309.

LCM(83296,83309) = 2⁵ × 19¹ × 137¹ × 227¹ × 367¹
LCM(83296,83309) = 6939306464