What is the Least Common Multiple of 26459 and 26471?

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 26459 and 26471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26459 and 26471, than apply into the LCM equation.

GCF(26459,26471) = 1
LCM(26459,26471) = ( 26459 × 26471) / 1
LCM(26459,26471) = 700396189 / 1
LCM(26459,26471) = 700396189

Least Common Multiple (LCM) of 26459 and 26471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26459 and 26471. First we will calculate the prime factors of 26459 and 26471.

Prime Factorization of 26459

Prime Factorization of 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 26459 and 26471.

LCM(26459,26471) = 26459¹ × 103¹ × 257¹
LCM(26459,26471) = 700396189