What is the Least Common Multiple of 39287 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 39287 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 39287 and 39304, than apply into the LCM equation.

GCF(39287,39304) = 17
LCM(39287,39304) = ( 39287 × 39304) / 17
LCM(39287,39304) = 1544136248 / 17
LCM(39287,39304) = 90831544

Least Common Multiple (LCM) of 39287 and 39304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39287 and 39304. First we will calculate the prime factors of 39287 and 39304.

Prime Factorization of 39287

Prime Factorization of 39304

Now multiplying the highest exponent prime factors to calculate the LCM of 39287 and 39304.

LCM(39287,39304) = 17³ × 2311¹ × 2³
LCM(39287,39304) = 90831544