What is the Least Common Multiple of 31184 and 31204?

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 31184 and 31204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31184 and 31204, than apply into the LCM equation.

GCF(31184,31204) = 4
LCM(31184,31204) = ( 31184 × 31204) / 4
LCM(31184,31204) = 973065536 / 4
LCM(31184,31204) = 243266384

Least Common Multiple (LCM) of 31184 and 31204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31184 and 31204. First we will calculate the prime factors of 31184 and 31204.

Prime Factorization of 31184

Prime Factorization of 31204

Now multiplying the highest exponent prime factors to calculate the LCM of 31184 and 31204.

LCM(31184,31204) = 2⁴ × 1949¹ × 29¹ × 269¹
LCM(31184,31204) = 243266384