What is the Least Common Multiple of 31309 and 31324?

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 31309 and 31324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31309 and 31324, than apply into the LCM equation.

GCF(31309,31324) = 1
LCM(31309,31324) = ( 31309 × 31324) / 1
LCM(31309,31324) = 980723116 / 1
LCM(31309,31324) = 980723116

Least Common Multiple (LCM) of 31309 and 31324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31309 and 31324. First we will calculate the prime factors of 31309 and 31324.

Prime Factorization of 31309

Prime Factorization of 31324

Now multiplying the highest exponent prime factors to calculate the LCM of 31309 and 31324.

LCM(31309,31324) = 131¹ × 239¹ × 2² × 41¹ × 191¹
LCM(31309,31324) = 980723116