What is the Least Common Multiple of 98185 and 98191?

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 98185 and 98191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98185 and 98191, than apply into the LCM equation.

GCF(98185,98191) = 1
LCM(98185,98191) = ( 98185 × 98191) / 1
LCM(98185,98191) = 9640883335 / 1
LCM(98185,98191) = 9640883335

Least Common Multiple (LCM) of 98185 and 98191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98185 and 98191. First we will calculate the prime factors of 98185 and 98191.

Prime Factorization of 98185

Prime Factorization of 98191

Now multiplying the highest exponent prime factors to calculate the LCM of 98185 and 98191.

LCM(98185,98191) = 5¹ × 73¹ × 269¹ × 149¹ × 659¹
LCM(98185,98191) = 9640883335