What is the Least Common Multiple of 13523 and 13530?

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 13523 and 13530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13523 and 13530, than apply into the LCM equation.

GCF(13523,13530) = 1
LCM(13523,13530) = ( 13523 × 13530) / 1
LCM(13523,13530) = 182966190 / 1
LCM(13523,13530) = 182966190

Least Common Multiple (LCM) of 13523 and 13530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13523 and 13530. First we will calculate the prime factors of 13523 and 13530.

Prime Factorization of 13523

Prime Factorization of 13530

Now multiplying the highest exponent prime factors to calculate the LCM of 13523 and 13530.

LCM(13523,13530) = 13523¹ × 2¹ × 3¹ × 5¹ × 11¹ × 41¹
LCM(13523,13530) = 182966190