What is the Least Common Multiple of 92315 and 92333?

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 92315 and 92333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92315 and 92333, than apply into the LCM equation.

GCF(92315,92333) = 1
LCM(92315,92333) = ( 92315 × 92333) / 1
LCM(92315,92333) = 8523720895 / 1
LCM(92315,92333) = 8523720895

Least Common Multiple (LCM) of 92315 and 92333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92315 and 92333. First we will calculate the prime factors of 92315 and 92333.

Prime Factorization of 92315

Prime Factorization of 92333

Now multiplying the highest exponent prime factors to calculate the LCM of 92315 and 92333.

LCM(92315,92333) = 5¹ × 37¹ × 499¹ × 92333¹
LCM(92315,92333) = 8523720895