What is the Least Common Multiple of 31110 and 31119?

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 31110 and 31119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31110 and 31119, than apply into the LCM equation.

GCF(31110,31119) = 3
LCM(31110,31119) = ( 31110 × 31119) / 3
LCM(31110,31119) = 968112090 / 3
LCM(31110,31119) = 322704030

Least Common Multiple (LCM) of 31110 and 31119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31110 and 31119. First we will calculate the prime factors of 31110 and 31119.

Prime Factorization of 31110

Prime Factorization of 31119

Now multiplying the highest exponent prime factors to calculate the LCM of 31110 and 31119.

LCM(31110,31119) = 2¹ × 3¹ × 5¹ × 17¹ × 61¹ × 11¹ × 23¹ × 41¹
LCM(31110,31119) = 322704030