What is the Least Common Multiple of 15405 and 15413?

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 15405 and 15413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15405 and 15413, than apply into the LCM equation.

GCF(15405,15413) = 1
LCM(15405,15413) = ( 15405 × 15413) / 1
LCM(15405,15413) = 237437265 / 1
LCM(15405,15413) = 237437265

Least Common Multiple (LCM) of 15405 and 15413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15405 and 15413. First we will calculate the prime factors of 15405 and 15413.

Prime Factorization of 15405

Prime Factorization of 15413

Now multiplying the highest exponent prime factors to calculate the LCM of 15405 and 15413.

LCM(15405,15413) = 3¹ × 5¹ × 13¹ × 79¹ × 15413¹
LCM(15405,15413) = 237437265