What is the Least Common Multiple of 83356 and 83368?

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 83356 and 83368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83356 and 83368, than apply into the LCM equation.

GCF(83356,83368) = 4
LCM(83356,83368) = ( 83356 × 83368) / 4
LCM(83356,83368) = 6949223008 / 4
LCM(83356,83368) = 1737305752

Least Common Multiple (LCM) of 83356 and 83368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83356 and 83368. First we will calculate the prime factors of 83356 and 83368.

Prime Factorization of 83356

Prime Factorization of 83368

Now multiplying the highest exponent prime factors to calculate the LCM of 83356 and 83368.

LCM(83356,83368) = 2³ × 7¹ × 13¹ × 229¹ × 17¹ × 613¹
LCM(83356,83368) = 1737305752