What is the Least Common Multiple of 39296 and 39304?

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 39296 and 39304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39296 and 39304, than apply into the LCM equation.

GCF(39296,39304) = 8
LCM(39296,39304) = ( 39296 × 39304) / 8
LCM(39296,39304) = 1544489984 / 8
LCM(39296,39304) = 193061248

Least Common Multiple (LCM) of 39296 and 39304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39296 and 39304. First we will calculate the prime factors of 39296 and 39304.

Prime Factorization of 39296

Prime Factorization of 39304

Now multiplying the highest exponent prime factors to calculate the LCM of 39296 and 39304.

LCM(39296,39304) = 2⁷ × 307¹ × 17³
LCM(39296,39304) = 193061248