What is the Least Common Multiple of 11976 and 11986?

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 11986 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 11986, than apply into the LCM equation.

GCF(11976,11986) = 2
LCM(11976,11986) = ( 11976 × 11986) / 2
LCM(11976,11986) = 143544336 / 2
LCM(11976,11986) = 71772168

Least Common Multiple (LCM) of 11976 and 11986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11976 and 11986. First we will calculate the prime factors of 11976 and 11986.

Prime Factorization of 11976

Prime Factorization of 11986

Now multiplying the highest exponent prime factors to calculate the LCM of 11976 and 11986.

LCM(11976,11986) = 2³ × 3¹ × 499¹ × 13¹ × 461¹
LCM(11976,11986) = 71772168