What is the Least Common Multiple of 47405 and 47413?

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 47405 and 47413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47405 and 47413, than apply into the LCM equation.

GCF(47405,47413) = 1
LCM(47405,47413) = ( 47405 × 47413) / 1
LCM(47405,47413) = 2247613265 / 1
LCM(47405,47413) = 2247613265

Least Common Multiple (LCM) of 47405 and 47413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47405 and 47413. First we will calculate the prime factors of 47405 and 47413.

Prime Factorization of 47405

Prime Factorization of 47413

Now multiplying the highest exponent prime factors to calculate the LCM of 47405 and 47413.

LCM(47405,47413) = 5¹ × 19¹ × 499¹ × 17¹ × 2789¹
LCM(47405,47413) = 2247613265