What is the Least Common Multiple of 26448 and 26454?

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 26448 and 26454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26448 and 26454, than apply into the LCM equation.

GCF(26448,26454) = 6
LCM(26448,26454) = ( 26448 × 26454) / 6
LCM(26448,26454) = 699655392 / 6
LCM(26448,26454) = 116609232

Least Common Multiple (LCM) of 26448 and 26454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26448 and 26454. First we will calculate the prime factors of 26448 and 26454.

Prime Factorization of 26448

Prime Factorization of 26454

Now multiplying the highest exponent prime factors to calculate the LCM of 26448 and 26454.

LCM(26448,26454) = 2⁴ × 3¹ × 19¹ × 29¹ × 4409¹
LCM(26448,26454) = 116609232