What is the Least Common Multiple of 13536 and 13547?

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 13536 and 13547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13536 and 13547, than apply into the LCM equation.

GCF(13536,13547) = 1
LCM(13536,13547) = ( 13536 × 13547) / 1
LCM(13536,13547) = 183372192 / 1
LCM(13536,13547) = 183372192

Least Common Multiple (LCM) of 13536 and 13547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13536 and 13547. First we will calculate the prime factors of 13536 and 13547.

Prime Factorization of 13536

Prime Factorization of 13547

Now multiplying the highest exponent prime factors to calculate the LCM of 13536 and 13547.

LCM(13536,13547) = 2⁵ × 3² × 47¹ × 19¹ × 23¹ × 31¹
LCM(13536,13547) = 183372192