What is the Least Common Multiple of 11985 and 11993?

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 11993 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 11993, than apply into the LCM equation.

GCF(11985,11993) = 1
LCM(11985,11993) = ( 11985 × 11993) / 1
LCM(11985,11993) = 143736105 / 1
LCM(11985,11993) = 143736105

Least Common Multiple (LCM) of 11985 and 11993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11985 and 11993. First we will calculate the prime factors of 11985 and 11993.

Prime Factorization of 11985

Prime Factorization of 11993

Now multiplying the highest exponent prime factors to calculate the LCM of 11985 and 11993.

LCM(11985,11993) = 3¹ × 5¹ × 17¹ × 47¹ × 67¹ × 179¹
LCM(11985,11993) = 143736105