What is the Least Common Multiple of 39328 and 39338?

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 39328 and 39338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39328 and 39338, than apply into the LCM equation.

GCF(39328,39338) = 2
LCM(39328,39338) = ( 39328 × 39338) / 2
LCM(39328,39338) = 1547084864 / 2
LCM(39328,39338) = 773542432

Least Common Multiple (LCM) of 39328 and 39338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39328 and 39338. First we will calculate the prime factors of 39328 and 39338.

Prime Factorization of 39328

Prime Factorization of 39338

Now multiplying the highest exponent prime factors to calculate the LCM of 39328 and 39338.

LCM(39328,39338) = 2⁵ × 1229¹ × 13¹ × 17¹ × 89¹
LCM(39328,39338) = 773542432