What is the Least Common Multiple of 11664 and 11678?

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 11664 and 11678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11664 and 11678, than apply into the LCM equation.

GCF(11664,11678) = 2
LCM(11664,11678) = ( 11664 × 11678) / 2
LCM(11664,11678) = 136212192 / 2
LCM(11664,11678) = 68106096

Least Common Multiple (LCM) of 11664 and 11678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11664 and 11678. First we will calculate the prime factors of 11664 and 11678.

Prime Factorization of 11664

Prime Factorization of 11678

Now multiplying the highest exponent prime factors to calculate the LCM of 11664 and 11678.

LCM(11664,11678) = 2⁴ × 3⁶ × 5839¹
LCM(11664,11678) = 68106096