What is the Least Common Multiple of 78271 and 78289?

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 78271 and 78289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78271 and 78289, than apply into the LCM equation.

GCF(78271,78289) = 1
LCM(78271,78289) = ( 78271 × 78289) / 1
LCM(78271,78289) = 6127758319 / 1
LCM(78271,78289) = 6127758319

Least Common Multiple (LCM) of 78271 and 78289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78271 and 78289. First we will calculate the prime factors of 78271 and 78289.

Prime Factorization of 78271

Prime Factorization of 78289

Now multiplying the highest exponent prime factors to calculate the LCM of 78271 and 78289.

LCM(78271,78289) = 29¹ × 2699¹ × 79¹ × 991¹
LCM(78271,78289) = 6127758319