What is the Least Common Multiple of 95314 and 95323?

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 95314 and 95323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95314 and 95323, than apply into the LCM equation.

GCF(95314,95323) = 1
LCM(95314,95323) = ( 95314 × 95323) / 1
LCM(95314,95323) = 9085616422 / 1
LCM(95314,95323) = 9085616422

Least Common Multiple (LCM) of 95314 and 95323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95314 and 95323. First we will calculate the prime factors of 95314 and 95323.

Prime Factorization of 95314

Prime Factorization of 95323

Now multiplying the highest exponent prime factors to calculate the LCM of 95314 and 95323.

LCM(95314,95323) = 2¹ × 47657¹ × 19¹ × 29¹ × 173¹
LCM(95314,95323) = 9085616422