What is the Least Common Multiple of 5405 and 5413?

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 5405 and 5413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5405 and 5413, than apply into the LCM equation.

GCF(5405,5413) = 1
LCM(5405,5413) = ( 5405 × 5413) / 1
LCM(5405,5413) = 29257265 / 1
LCM(5405,5413) = 29257265

Least Common Multiple (LCM) of 5405 and 5413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5405 and 5413. First we will calculate the prime factors of 5405 and 5413.

Prime Factorization of 5405

Prime Factorization of 5413

Now multiplying the highest exponent prime factors to calculate the LCM of 5405 and 5413.

LCM(5405,5413) = 5¹ × 23¹ × 47¹ × 5413¹
LCM(5405,5413) = 29257265