What is the Least Common Multiple of 26436 and 26456?

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 26456 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 26456, than apply into the LCM equation.

GCF(26436,26456) = 4
LCM(26436,26456) = ( 26436 × 26456) / 4
LCM(26436,26456) = 699390816 / 4
LCM(26436,26456) = 174847704

Least Common Multiple (LCM) of 26436 and 26456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26436 and 26456. First we will calculate the prime factors of 26436 and 26456.

Prime Factorization of 26436

Prime Factorization of 26456

Now multiplying the highest exponent prime factors to calculate the LCM of 26436 and 26456.

LCM(26436,26456) = 2³ × 3¹ × 2203¹ × 3307¹
LCM(26436,26456) = 174847704