What is the Least Common Multiple of 31308 and 31327?

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 31308 and 31327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31308 and 31327, than apply into the LCM equation.

GCF(31308,31327) = 1
LCM(31308,31327) = ( 31308 × 31327) / 1
LCM(31308,31327) = 980785716 / 1
LCM(31308,31327) = 980785716

Least Common Multiple (LCM) of 31308 and 31327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31308 and 31327. First we will calculate the prime factors of 31308 and 31327.

Prime Factorization of 31308

Prime Factorization of 31327

Now multiplying the highest exponent prime factors to calculate the LCM of 31308 and 31327.

LCM(31308,31327) = 2² × 3¹ × 2609¹ × 31327¹
LCM(31308,31327) = 980785716