What is the Least Common Multiple of 92315 and 92335?

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 92335 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 92335, than apply into the LCM equation.

GCF(92315,92335) = 5
LCM(92315,92335) = ( 92315 × 92335) / 5
LCM(92315,92335) = 8523905525 / 5
LCM(92315,92335) = 1704781105

Least Common Multiple (LCM) of 92315 and 92335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92315 and 92335. First we will calculate the prime factors of 92315 and 92335.

Prime Factorization of 92315

Prime Factorization of 92335

Now multiplying the highest exponent prime factors to calculate the LCM of 92315 and 92335.

LCM(92315,92335) = 5¹ × 37¹ × 499¹ × 59¹ × 313¹
LCM(92315,92335) = 1704781105