What is the Least Common Multiple of 2405 and 2413?

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 2405 and 2413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2405 and 2413, than apply into the LCM equation.

GCF(2405,2413) = 1
LCM(2405,2413) = ( 2405 × 2413) / 1
LCM(2405,2413) = 5803265 / 1
LCM(2405,2413) = 5803265

Least Common Multiple (LCM) of 2405 and 2413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2405 and 2413. First we will calculate the prime factors of 2405 and 2413.

Prime Factorization of 2405

Prime Factorization of 2413

Now multiplying the highest exponent prime factors to calculate the LCM of 2405 and 2413.

LCM(2405,2413) = 5¹ × 13¹ × 37¹ × 19¹ × 127¹
LCM(2405,2413) = 5803265