What is the Least Common Multiple of 11999 and 12012?

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 11999 and 12012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11999 and 12012, than apply into the LCM equation.

GCF(11999,12012) = 13
LCM(11999,12012) = ( 11999 × 12012) / 13
LCM(11999,12012) = 144131988 / 13
LCM(11999,12012) = 11087076

Least Common Multiple (LCM) of 11999 and 12012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11999 and 12012. First we will calculate the prime factors of 11999 and 12012.

Prime Factorization of 11999

Prime Factorization of 12012

Now multiplying the highest exponent prime factors to calculate the LCM of 11999 and 12012.

LCM(11999,12012) = 13² × 71¹ × 2² × 3¹ × 7¹ × 11¹
LCM(11999,12012) = 11087076