What is the Least Common Multiple of 13449 and 13455?

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 13449 and 13455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13449 and 13455, than apply into the LCM equation.

GCF(13449,13455) = 3
LCM(13449,13455) = ( 13449 × 13455) / 3
LCM(13449,13455) = 180956295 / 3
LCM(13449,13455) = 60318765

Least Common Multiple (LCM) of 13449 and 13455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13449 and 13455. First we will calculate the prime factors of 13449 and 13455.

Prime Factorization of 13449

Prime Factorization of 13455

Now multiplying the highest exponent prime factors to calculate the LCM of 13449 and 13455.

LCM(13449,13455) = 3² × 4483¹ × 5¹ × 13¹ × 23¹
LCM(13449,13455) = 60318765