What is the Least Common Multiple of 11982 and 11992?

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 11992 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 11992, than apply into the LCM equation.

GCF(11982,11992) = 2
LCM(11982,11992) = ( 11982 × 11992) / 2
LCM(11982,11992) = 143688144 / 2
LCM(11982,11992) = 71844072

Least Common Multiple (LCM) of 11982 and 11992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11982 and 11992. First we will calculate the prime factors of 11982 and 11992.

Prime Factorization of 11982

Prime Factorization of 11992

Now multiplying the highest exponent prime factors to calculate the LCM of 11982 and 11992.

LCM(11982,11992) = 2³ × 3¹ × 1997¹ × 1499¹
LCM(11982,11992) = 71844072