What is the Least Common Multiple of 13390 and 13405?

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 13390 and 13405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13390 and 13405, than apply into the LCM equation.

GCF(13390,13405) = 5
LCM(13390,13405) = ( 13390 × 13405) / 5
LCM(13390,13405) = 179492950 / 5
LCM(13390,13405) = 35898590

Least Common Multiple (LCM) of 13390 and 13405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13390 and 13405. First we will calculate the prime factors of 13390 and 13405.

Prime Factorization of 13390

Prime Factorization of 13405

Now multiplying the highest exponent prime factors to calculate the LCM of 13390 and 13405.

LCM(13390,13405) = 2¹ × 5¹ × 13¹ × 103¹ × 7¹ × 383¹
LCM(13390,13405) = 35898590