What is the Least Common Multiple of 26549 and 26569?

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 26549 and 26569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26549 and 26569, than apply into the LCM equation.

GCF(26549,26569) = 1
LCM(26549,26569) = ( 26549 × 26569) / 1
LCM(26549,26569) = 705380381 / 1
LCM(26549,26569) = 705380381

Least Common Multiple (LCM) of 26549 and 26569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26549 and 26569. First we will calculate the prime factors of 26549 and 26569.

Prime Factorization of 26549

Prime Factorization of 26569

Now multiplying the highest exponent prime factors to calculate the LCM of 26549 and 26569.

LCM(26549,26569) = 139¹ × 191¹ × 163²
LCM(26549,26569) = 705380381