What is the Least Common Multiple of 39382 and 39396?

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 39382 and 39396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39382 and 39396, than apply into the LCM equation.

GCF(39382,39396) = 14
LCM(39382,39396) = ( 39382 × 39396) / 14
LCM(39382,39396) = 1551493272 / 14
LCM(39382,39396) = 110820948

Least Common Multiple (LCM) of 39382 and 39396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39382 and 39396. First we will calculate the prime factors of 39382 and 39396.

Prime Factorization of 39382

Prime Factorization of 39396

Now multiplying the highest exponent prime factors to calculate the LCM of 39382 and 39396.

LCM(39382,39396) = 2² × 7² × 29¹ × 97¹ × 3¹ × 67¹
LCM(39382,39396) = 110820948