What is the Least Common Multiple of 11931 and 11946?

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 11931 and 11946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11931 and 11946, than apply into the LCM equation.

GCF(11931,11946) = 3
LCM(11931,11946) = ( 11931 × 11946) / 3
LCM(11931,11946) = 142527726 / 3
LCM(11931,11946) = 47509242

Least Common Multiple (LCM) of 11931 and 11946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11931 and 11946. First we will calculate the prime factors of 11931 and 11946.

Prime Factorization of 11931

Prime Factorization of 11946

Now multiplying the highest exponent prime factors to calculate the LCM of 11931 and 11946.

LCM(11931,11946) = 3¹ × 41¹ × 97¹ × 2¹ × 11¹ × 181¹
LCM(11931,11946) = 47509242