What is the Least Common Multiple of 83278 and 83296?

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 83278 and 83296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83278 and 83296, than apply into the LCM equation.

GCF(83278,83296) = 2
LCM(83278,83296) = ( 83278 × 83296) / 2
LCM(83278,83296) = 6936724288 / 2
LCM(83278,83296) = 3468362144

Least Common Multiple (LCM) of 83278 and 83296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83278 and 83296. First we will calculate the prime factors of 83278 and 83296.

Prime Factorization of 83278

Prime Factorization of 83296

Now multiplying the highest exponent prime factors to calculate the LCM of 83278 and 83296.

LCM(83278,83296) = 2⁵ × 13¹ × 3203¹ × 19¹ × 137¹
LCM(83278,83296) = 3468362144