What is the Least Common Multiple of 13590 and 13599?

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 13590 and 13599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13590 and 13599, than apply into the LCM equation.

GCF(13590,13599) = 9
LCM(13590,13599) = ( 13590 × 13599) / 9
LCM(13590,13599) = 184810410 / 9
LCM(13590,13599) = 20534490

Least Common Multiple (LCM) of 13590 and 13599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13590 and 13599. First we will calculate the prime factors of 13590 and 13599.

Prime Factorization of 13590

Prime Factorization of 13599

Now multiplying the highest exponent prime factors to calculate the LCM of 13590 and 13599.

LCM(13590,13599) = 2¹ × 3² × 5¹ × 151¹ × 1511¹
LCM(13590,13599) = 20534490