What is the Least Common Multiple of 83382 and 83388?

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 83382 and 83388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83382 and 83388, than apply into the LCM equation.

GCF(83382,83388) = 6
LCM(83382,83388) = ( 83382 × 83388) / 6
LCM(83382,83388) = 6953058216 / 6
LCM(83382,83388) = 1158843036

Least Common Multiple (LCM) of 83382 and 83388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83382 and 83388. First we will calculate the prime factors of 83382 and 83388.

Prime Factorization of 83382

Prime Factorization of 83388

Now multiplying the highest exponent prime factors to calculate the LCM of 83382 and 83388.

LCM(83382,83388) = 2² × 3¹ × 13¹ × 1069¹ × 6949¹
LCM(83382,83388) = 1158843036