What is the Least Common Multiple of 92149 and 92165?

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 92149 and 92165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92149 and 92165, than apply into the LCM equation.

GCF(92149,92165) = 1
LCM(92149,92165) = ( 92149 × 92165) / 1
LCM(92149,92165) = 8492912585 / 1
LCM(92149,92165) = 8492912585

Least Common Multiple (LCM) of 92149 and 92165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92149 and 92165. First we will calculate the prime factors of 92149 and 92165.

Prime Factorization of 92149

Prime Factorization of 92165

Now multiplying the highest exponent prime factors to calculate the LCM of 92149 and 92165.

LCM(92149,92165) = 43¹ × 2143¹ × 5¹ × 18433¹
LCM(92149,92165) = 8492912585