What is the Least Common Multiple of 13530 and 13536?

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 13530 and 13536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13530 and 13536, than apply into the LCM equation.

GCF(13530,13536) = 6
LCM(13530,13536) = ( 13530 × 13536) / 6
LCM(13530,13536) = 183142080 / 6
LCM(13530,13536) = 30523680

Least Common Multiple (LCM) of 13530 and 13536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13530 and 13536. First we will calculate the prime factors of 13530 and 13536.

Prime Factorization of 13530

Prime Factorization of 13536

Now multiplying the highest exponent prime factors to calculate the LCM of 13530 and 13536.

LCM(13530,13536) = 2⁵ × 3² × 5¹ × 11¹ × 41¹ × 47¹
LCM(13530,13536) = 30523680