What is the Least Common Multiple of 11985 and 11994?

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 11985 and 11994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11985 and 11994, than apply into the LCM equation.

GCF(11985,11994) = 3
LCM(11985,11994) = ( 11985 × 11994) / 3
LCM(11985,11994) = 143748090 / 3
LCM(11985,11994) = 47916030

Least Common Multiple (LCM) of 11985 and 11994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11985 and 11994. First we will calculate the prime factors of 11985 and 11994.

Prime Factorization of 11985

Prime Factorization of 11994

Now multiplying the highest exponent prime factors to calculate the LCM of 11985 and 11994.

LCM(11985,11994) = 3¹ × 5¹ × 17¹ × 47¹ × 2¹ × 1999¹
LCM(11985,11994) = 47916030