What is the Least Common Multiple of 11982 and 11999?

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 11982 and 11999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11982 and 11999, than apply into the LCM equation.

GCF(11982,11999) = 1
LCM(11982,11999) = ( 11982 × 11999) / 1
LCM(11982,11999) = 143772018 / 1
LCM(11982,11999) = 143772018

Least Common Multiple (LCM) of 11982 and 11999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11982 and 11999. First we will calculate the prime factors of 11982 and 11999.

Prime Factorization of 11982

Prime Factorization of 11999

Now multiplying the highest exponent prime factors to calculate the LCM of 11982 and 11999.

LCM(11982,11999) = 2¹ × 3¹ × 1997¹ × 13² × 71¹
LCM(11982,11999) = 143772018