What is the Least Common Multiple of 92085 and 92097?

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 92085 and 92097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92085 and 92097, than apply into the LCM equation.

GCF(92085,92097) = 3
LCM(92085,92097) = ( 92085 × 92097) / 3
LCM(92085,92097) = 8480752245 / 3
LCM(92085,92097) = 2826917415

Least Common Multiple (LCM) of 92085 and 92097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92085 and 92097. First we will calculate the prime factors of 92085 and 92097.

Prime Factorization of 92085

Prime Factorization of 92097

Now multiplying the highest exponent prime factors to calculate the LCM of 92085 and 92097.

LCM(92085,92097) = 3⁵ × 5¹ × 7¹ × 877¹ × 379¹
LCM(92085,92097) = 2826917415