What is the Least Common Multiple of 26561 and 26571?

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 26561 and 26571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26561 and 26571, than apply into the LCM equation.

GCF(26561,26571) = 1
LCM(26561,26571) = ( 26561 × 26571) / 1
LCM(26561,26571) = 705752331 / 1
LCM(26561,26571) = 705752331

Least Common Multiple (LCM) of 26561 and 26571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26561 and 26571. First we will calculate the prime factors of 26561 and 26571.

Prime Factorization of 26561

Prime Factorization of 26571

Now multiplying the highest exponent prime factors to calculate the LCM of 26561 and 26571.

LCM(26561,26571) = 26561¹ × 3¹ × 17¹ × 521¹
LCM(26561,26571) = 705752331