What is the Least Common Multiple of 26448 and 26457?

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 26457 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 26457, than apply into the LCM equation.

GCF(26448,26457) = 3
LCM(26448,26457) = ( 26448 × 26457) / 3
LCM(26448,26457) = 699734736 / 3
LCM(26448,26457) = 233244912

Least Common Multiple (LCM) of 26448 and 26457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26448 and 26457. First we will calculate the prime factors of 26448 and 26457.

Prime Factorization of 26448

Prime Factorization of 26457

Now multiplying the highest exponent prime factors to calculate the LCM of 26448 and 26457.

LCM(26448,26457) = 2⁴ × 3¹ × 19¹ × 29¹ × 8819¹
LCM(26448,26457) = 233244912