What is the Least Common Multiple of 11922 and 11931?

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 11922 and 11931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11922 and 11931, than apply into the LCM equation.

GCF(11922,11931) = 3
LCM(11922,11931) = ( 11922 × 11931) / 3
LCM(11922,11931) = 142241382 / 3
LCM(11922,11931) = 47413794

Least Common Multiple (LCM) of 11922 and 11931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11922 and 11931. First we will calculate the prime factors of 11922 and 11931.

Prime Factorization of 11922

Prime Factorization of 11931

Now multiplying the highest exponent prime factors to calculate the LCM of 11922 and 11931.

LCM(11922,11931) = 2¹ × 3¹ × 1987¹ × 41¹ × 97¹
LCM(11922,11931) = 47413794