What is the Least Common Multiple of 26509 and 26528?

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 26509 and 26528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26509 and 26528, than apply into the LCM equation.

GCF(26509,26528) = 1
LCM(26509,26528) = ( 26509 × 26528) / 1
LCM(26509,26528) = 703230752 / 1
LCM(26509,26528) = 703230752

Least Common Multiple (LCM) of 26509 and 26528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26509 and 26528. First we will calculate the prime factors of 26509 and 26528.

Prime Factorization of 26509

Prime Factorization of 26528

Now multiplying the highest exponent prime factors to calculate the LCM of 26509 and 26528.

LCM(26509,26528) = 7² × 541¹ × 2⁵ × 829¹
LCM(26509,26528) = 703230752