What is the Least Common Multiple of 11985 and 12002?

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 12002 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 12002, than apply into the LCM equation.

GCF(11985,12002) = 17
LCM(11985,12002) = ( 11985 × 12002) / 17
LCM(11985,12002) = 143843970 / 17
LCM(11985,12002) = 8461410

Least Common Multiple (LCM) of 11985 and 12002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11985 and 12002. First we will calculate the prime factors of 11985 and 12002.

Prime Factorization of 11985

Prime Factorization of 12002

Now multiplying the highest exponent prime factors to calculate the LCM of 11985 and 12002.

LCM(11985,12002) = 3¹ × 5¹ × 17¹ × 47¹ × 2¹ × 353¹
LCM(11985,12002) = 8461410