What is the Least Common Multiple of 31335 and 31345?

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 31335 and 31345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31335 and 31345, than apply into the LCM equation.

GCF(31335,31345) = 5
LCM(31335,31345) = ( 31335 × 31345) / 5
LCM(31335,31345) = 982195575 / 5
LCM(31335,31345) = 196439115

Least Common Multiple (LCM) of 31335 and 31345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31335 and 31345. First we will calculate the prime factors of 31335 and 31345.

Prime Factorization of 31335

Prime Factorization of 31345

Now multiplying the highest exponent prime factors to calculate the LCM of 31335 and 31345.

LCM(31335,31345) = 3¹ × 5¹ × 2089¹ × 6269¹
LCM(31335,31345) = 196439115