What is the Least Common Multiple of 81275 and 81289?

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 81275 and 81289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81275 and 81289, than apply into the LCM equation.

GCF(81275,81289) = 1
LCM(81275,81289) = ( 81275 × 81289) / 1
LCM(81275,81289) = 6606763475 / 1
LCM(81275,81289) = 6606763475

Least Common Multiple (LCM) of 81275 and 81289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81275 and 81289. First we will calculate the prime factors of 81275 and 81289.

Prime Factorization of 81275

Prime Factorization of 81289

Now multiplying the highest exponent prime factors to calculate the LCM of 81275 and 81289.

LCM(81275,81289) = 5² × 3251¹ × 13³ × 37¹
LCM(81275,81289) = 6606763475