What is the Least Common Multiple of 84289 and 84293?

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 84289 and 84293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84289 and 84293, than apply into the LCM equation.

GCF(84289,84293) = 1
LCM(84289,84293) = ( 84289 × 84293) / 1
LCM(84289,84293) = 7104972677 / 1
LCM(84289,84293) = 7104972677

Least Common Multiple (LCM) of 84289 and 84293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84289 and 84293. First we will calculate the prime factors of 84289 and 84293.

Prime Factorization of 84289

Prime Factorization of 84293

Now multiplying the highest exponent prime factors to calculate the LCM of 84289 and 84293.

LCM(84289,84293) = 31¹ × 2719¹ × 11¹ × 79¹ × 97¹
LCM(84289,84293) = 7104972677