What is the Least Common Multiple of 47392 and 47405?

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 47392 and 47405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47392 and 47405, than apply into the LCM equation.

GCF(47392,47405) = 1
LCM(47392,47405) = ( 47392 × 47405) / 1
LCM(47392,47405) = 2246617760 / 1
LCM(47392,47405) = 2246617760

Least Common Multiple (LCM) of 47392 and 47405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47392 and 47405. First we will calculate the prime factors of 47392 and 47405.

Prime Factorization of 47392

Prime Factorization of 47405

Now multiplying the highest exponent prime factors to calculate the LCM of 47392 and 47405.

LCM(47392,47405) = 2⁵ × 1481¹ × 5¹ × 19¹ × 499¹
LCM(47392,47405) = 2246617760