What is the Least Common Multiple of 39304 and 39308?

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 39304 and 39308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39304 and 39308, than apply into the LCM equation.

GCF(39304,39308) = 4
LCM(39304,39308) = ( 39304 × 39308) / 4
LCM(39304,39308) = 1544961632 / 4
LCM(39304,39308) = 386240408

Least Common Multiple (LCM) of 39304 and 39308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39304 and 39308. First we will calculate the prime factors of 39304 and 39308.

Prime Factorization of 39304

Prime Factorization of 39308

Now multiplying the highest exponent prime factors to calculate the LCM of 39304 and 39308.

LCM(39304,39308) = 2³ × 17³ × 31¹ × 317¹
LCM(39304,39308) = 386240408