What is the Least Common Multiple of 11925 and 11943?

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 11925 and 11943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11925 and 11943, than apply into the LCM equation.

GCF(11925,11943) = 9
LCM(11925,11943) = ( 11925 × 11943) / 9
LCM(11925,11943) = 142420275 / 9
LCM(11925,11943) = 15824475

Least Common Multiple (LCM) of 11925 and 11943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11925 and 11943. First we will calculate the prime factors of 11925 and 11943.

Prime Factorization of 11925

Prime Factorization of 11943

Now multiplying the highest exponent prime factors to calculate the LCM of 11925 and 11943.

LCM(11925,11943) = 3² × 5² × 53¹ × 1327¹
LCM(11925,11943) = 15824475