What is the Least Common Multiple of 92405 and 92423?

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 92405 and 92423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92405 and 92423, than apply into the LCM equation.

GCF(92405,92423) = 1
LCM(92405,92423) = ( 92405 × 92423) / 1
LCM(92405,92423) = 8540347315 / 1
LCM(92405,92423) = 8540347315

Least Common Multiple (LCM) of 92405 and 92423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92405 and 92423. First we will calculate the prime factors of 92405 and 92423.

Prime Factorization of 92405

Prime Factorization of 92423

Now multiplying the highest exponent prime factors to calculate the LCM of 92405 and 92423.

LCM(92405,92423) = 5¹ × 18481¹ × 29¹ × 3187¹
LCM(92405,92423) = 8540347315