What is the Least Common Multiple of 13523 and 13532?

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 13532 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 13532, than apply into the LCM equation.

GCF(13523,13532) = 1
LCM(13523,13532) = ( 13523 × 13532) / 1
LCM(13523,13532) = 182993236 / 1
LCM(13523,13532) = 182993236

Least Common Multiple (LCM) of 13523 and 13532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13523 and 13532. First we will calculate the prime factors of 13523 and 13532.

Prime Factorization of 13523

Prime Factorization of 13532

Now multiplying the highest exponent prime factors to calculate the LCM of 13523 and 13532.

LCM(13523,13532) = 13523¹ × 2² × 17¹ × 199¹
LCM(13523,13532) = 182993236