What is the Least Common Multiple of 13533 and 13539?

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 13533 and 13539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13533 and 13539, than apply into the LCM equation.

GCF(13533,13539) = 3
LCM(13533,13539) = ( 13533 × 13539) / 3
LCM(13533,13539) = 183223287 / 3
LCM(13533,13539) = 61074429

Least Common Multiple (LCM) of 13533 and 13539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13533 and 13539. First we will calculate the prime factors of 13533 and 13539.

Prime Factorization of 13533

Prime Factorization of 13539

Now multiplying the highest exponent prime factors to calculate the LCM of 13533 and 13539.

LCM(13533,13539) = 3¹ × 13¹ × 347¹ × 4513¹
LCM(13533,13539) = 61074429