What is the Least Common Multiple of 31119 and 31131?

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 31119 and 31131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31119 and 31131, than apply into the LCM equation.

GCF(31119,31131) = 3
LCM(31119,31131) = ( 31119 × 31131) / 3
LCM(31119,31131) = 968765589 / 3
LCM(31119,31131) = 322921863

Least Common Multiple (LCM) of 31119 and 31131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31119 and 31131. First we will calculate the prime factors of 31119 and 31131.

Prime Factorization of 31119

Prime Factorization of 31131

Now multiplying the highest exponent prime factors to calculate the LCM of 31119 and 31131.

LCM(31119,31131) = 3³ × 11¹ × 23¹ × 41¹ × 1153¹
LCM(31119,31131) = 322921863