What is the Least Common Multiple of 47405 and 47423?

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 47423 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 47423, than apply into the LCM equation.

GCF(47405,47423) = 1
LCM(47405,47423) = ( 47405 × 47423) / 1
LCM(47405,47423) = 2248087315 / 1
LCM(47405,47423) = 2248087315

Least Common Multiple (LCM) of 47405 and 47423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47405 and 47423. First we will calculate the prime factors of 47405 and 47423.

Prime Factorization of 47405

Prime Factorization of 47423

Now multiplying the highest exponent prime factors to calculate the LCM of 47405 and 47423.

LCM(47405,47423) = 5¹ × 19¹ × 499¹ × 47¹ × 1009¹
LCM(47405,47423) = 2248087315