What is the Least Common Multiple of 83376 and 83396?

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 83376 and 83396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83376 and 83396, than apply into the LCM equation.

GCF(83376,83396) = 4
LCM(83376,83396) = ( 83376 × 83396) / 4
LCM(83376,83396) = 6953224896 / 4
LCM(83376,83396) = 1738306224

Least Common Multiple (LCM) of 83376 and 83396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83376 and 83396. First we will calculate the prime factors of 83376 and 83396.

Prime Factorization of 83376

Prime Factorization of 83396

Now multiplying the highest exponent prime factors to calculate the LCM of 83376 and 83396.

LCM(83376,83396) = 2⁴ × 3³ × 193¹ × 20849¹
LCM(83376,83396) = 1738306224