What is the Least Common Multiple of 26448 and 26452?

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 26452 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 26452, than apply into the LCM equation.

GCF(26448,26452) = 4
LCM(26448,26452) = ( 26448 × 26452) / 4
LCM(26448,26452) = 699602496 / 4
LCM(26448,26452) = 174900624

Least Common Multiple (LCM) of 26448 and 26452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26448 and 26452. First we will calculate the prime factors of 26448 and 26452.

Prime Factorization of 26448

Prime Factorization of 26452

Now multiplying the highest exponent prime factors to calculate the LCM of 26448 and 26452.

LCM(26448,26452) = 2⁴ × 3¹ × 19¹ × 29¹ × 17¹ × 389¹
LCM(26448,26452) = 174900624