What is the Least Common Multiple of 92598 and 92613?

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 92598 and 92613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92598 and 92613, than apply into the LCM equation.

GCF(92598,92613) = 3
LCM(92598,92613) = ( 92598 × 92613) / 3
LCM(92598,92613) = 8575778574 / 3
LCM(92598,92613) = 2858592858

Least Common Multiple (LCM) of 92598 and 92613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92598 and 92613. First we will calculate the prime factors of 92598 and 92613.

Prime Factorization of 92598

Prime Factorization of 92613

Now multiplying the highest exponent prime factors to calculate the LCM of 92598 and 92613.

LCM(92598,92613) = 2¹ × 3¹ × 11¹ × 23¹ × 61¹ × 30871¹
LCM(92598,92613) = 2858592858