What is the Least Common Multiple of 11946 and 11952?

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 11946 and 11952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11946 and 11952, than apply into the LCM equation.

GCF(11946,11952) = 6
LCM(11946,11952) = ( 11946 × 11952) / 6
LCM(11946,11952) = 142778592 / 6
LCM(11946,11952) = 23796432

Least Common Multiple (LCM) of 11946 and 11952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11946 and 11952. First we will calculate the prime factors of 11946 and 11952.

Prime Factorization of 11946

Prime Factorization of 11952

Now multiplying the highest exponent prime factors to calculate the LCM of 11946 and 11952.

LCM(11946,11952) = 2⁴ × 3² × 11¹ × 181¹ × 83¹
LCM(11946,11952) = 23796432