What is the Least Common Multiple of 11649 and 11664?

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 11649 and 11664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11649 and 11664, than apply into the LCM equation.

GCF(11649,11664) = 3
LCM(11649,11664) = ( 11649 × 11664) / 3
LCM(11649,11664) = 135873936 / 3
LCM(11649,11664) = 45291312

Least Common Multiple (LCM) of 11649 and 11664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11649 and 11664. First we will calculate the prime factors of 11649 and 11664.

Prime Factorization of 11649

Prime Factorization of 11664

Now multiplying the highest exponent prime factors to calculate the LCM of 11649 and 11664.

LCM(11649,11664) = 3⁶ × 11¹ × 353¹ × 2⁴
LCM(11649,11664) = 45291312