What is the Least Common Multiple of 39308 and 39328?

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 39308 and 39328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39308 and 39328, than apply into the LCM equation.

GCF(39308,39328) = 4
LCM(39308,39328) = ( 39308 × 39328) / 4
LCM(39308,39328) = 1545905024 / 4
LCM(39308,39328) = 386476256

Least Common Multiple (LCM) of 39308 and 39328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39308 and 39328. First we will calculate the prime factors of 39308 and 39328.

Prime Factorization of 39308

Prime Factorization of 39328

Now multiplying the highest exponent prime factors to calculate the LCM of 39308 and 39328.

LCM(39308,39328) = 2⁵ × 31¹ × 317¹ × 1229¹
LCM(39308,39328) = 386476256