What is the Least Common Multiple of 31304 and 31317?

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 31304 and 31317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31304 and 31317, than apply into the LCM equation.

GCF(31304,31317) = 13
LCM(31304,31317) = ( 31304 × 31317) / 13
LCM(31304,31317) = 980347368 / 13
LCM(31304,31317) = 75411336

Least Common Multiple (LCM) of 31304 and 31317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31304 and 31317. First we will calculate the prime factors of 31304 and 31317.

Prime Factorization of 31304

Prime Factorization of 31317

Now multiplying the highest exponent prime factors to calculate the LCM of 31304 and 31317.

LCM(31304,31317) = 2³ × 7¹ × 13¹ × 43¹ × 3¹ × 11¹ × 73¹
LCM(31304,31317) = 75411336