What is the Least Common Multiple of 11754 and 11772?

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 11754 and 11772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11754 and 11772, than apply into the LCM equation.

GCF(11754,11772) = 18
LCM(11754,11772) = ( 11754 × 11772) / 18
LCM(11754,11772) = 138368088 / 18
LCM(11754,11772) = 7687116

Least Common Multiple (LCM) of 11754 and 11772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11754 and 11772. First we will calculate the prime factors of 11754 and 11772.

Prime Factorization of 11754

Prime Factorization of 11772

Now multiplying the highest exponent prime factors to calculate the LCM of 11754 and 11772.

LCM(11754,11772) = 2² × 3³ × 653¹ × 109¹
LCM(11754,11772) = 7687116