What is the Least Common Multiple of 84269 and 84289?

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 84269 and 84289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84269 and 84289, than apply into the LCM equation.

GCF(84269,84289) = 1
LCM(84269,84289) = ( 84269 × 84289) / 1
LCM(84269,84289) = 7102949741 / 1
LCM(84269,84289) = 7102949741

Least Common Multiple (LCM) of 84269 and 84289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84269 and 84289. First we will calculate the prime factors of 84269 and 84289.

Prime Factorization of 84269

Prime Factorization of 84289

Now multiplying the highest exponent prime factors to calculate the LCM of 84269 and 84289.

LCM(84269,84289) = 17¹ × 4957¹ × 31¹ × 2719¹
LCM(84269,84289) = 7102949741