What is the Least Common Multiple of 26436 and 26453?

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 26436 and 26453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26436 and 26453, than apply into the LCM equation.

GCF(26436,26453) = 1
LCM(26436,26453) = ( 26436 × 26453) / 1
LCM(26436,26453) = 699311508 / 1
LCM(26436,26453) = 699311508

Least Common Multiple (LCM) of 26436 and 26453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26436 and 26453. First we will calculate the prime factors of 26436 and 26453.

Prime Factorization of 26436

Prime Factorization of 26453

Now multiplying the highest exponent prime factors to calculate the LCM of 26436 and 26453.

LCM(26436,26453) = 2² × 3¹ × 2203¹ × 7¹ × 3779¹
LCM(26436,26453) = 699311508