What is the Least Common Multiple of 13632 and 13649?

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 13632 and 13649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13632 and 13649, than apply into the LCM equation.

GCF(13632,13649) = 1
LCM(13632,13649) = ( 13632 × 13649) / 1
LCM(13632,13649) = 186063168 / 1
LCM(13632,13649) = 186063168

Least Common Multiple (LCM) of 13632 and 13649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13632 and 13649. First we will calculate the prime factors of 13632 and 13649.

Prime Factorization of 13632

Prime Factorization of 13649

Now multiplying the highest exponent prime factors to calculate the LCM of 13632 and 13649.

LCM(13632,13649) = 2⁶ × 3¹ × 71¹ × 13649¹
LCM(13632,13649) = 186063168