What is the Least Common Multiple of 83376 and 83382?

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 83382 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 83382, than apply into the LCM equation.

GCF(83376,83382) = 6
LCM(83376,83382) = ( 83376 × 83382) / 6
LCM(83376,83382) = 6952057632 / 6
LCM(83376,83382) = 1158676272

Least Common Multiple (LCM) of 83376 and 83382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83376 and 83382. First we will calculate the prime factors of 83376 and 83382.

Prime Factorization of 83376

Prime Factorization of 83382

Now multiplying the highest exponent prime factors to calculate the LCM of 83376 and 83382.

LCM(83376,83382) = 2⁴ × 3³ × 193¹ × 13¹ × 1069¹
LCM(83376,83382) = 1158676272