What is the Least Common Multiple of 11976 and 11991?

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 11976 and 11991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11976 and 11991, than apply into the LCM equation.

GCF(11976,11991) = 3
LCM(11976,11991) = ( 11976 × 11991) / 3
LCM(11976,11991) = 143604216 / 3
LCM(11976,11991) = 47868072

Least Common Multiple (LCM) of 11976 and 11991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11976 and 11991. First we will calculate the prime factors of 11976 and 11991.

Prime Factorization of 11976

Prime Factorization of 11991

Now multiplying the highest exponent prime factors to calculate the LCM of 11976 and 11991.

LCM(11976,11991) = 2³ × 3¹ × 499¹ × 7¹ × 571¹
LCM(11976,11991) = 47868072