What is the Least Common Multiple of 26577 and 26586?

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 26577 and 26586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26577 and 26586, than apply into the LCM equation.

GCF(26577,26586) = 9
LCM(26577,26586) = ( 26577 × 26586) / 9
LCM(26577,26586) = 706576122 / 9
LCM(26577,26586) = 78508458

Least Common Multiple (LCM) of 26577 and 26586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26577 and 26586. First we will calculate the prime factors of 26577 and 26586.

Prime Factorization of 26577

Prime Factorization of 26586

Now multiplying the highest exponent prime factors to calculate the LCM of 26577 and 26586.

LCM(26577,26586) = 3² × 2953¹ × 2¹ × 7¹ × 211¹
LCM(26577,26586) = 78508458