What is the Least Common Multiple of 26448 and 26460?

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 26460 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 26460, than apply into the LCM equation.

GCF(26448,26460) = 12
LCM(26448,26460) = ( 26448 × 26460) / 12
LCM(26448,26460) = 699814080 / 12
LCM(26448,26460) = 58317840

Least Common Multiple (LCM) of 26448 and 26460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26448 and 26460. First we will calculate the prime factors of 26448 and 26460.

Prime Factorization of 26448

Prime Factorization of 26460

Now multiplying the highest exponent prime factors to calculate the LCM of 26448 and 26460.

LCM(26448,26460) = 2⁴ × 3³ × 19¹ × 29¹ × 5¹ × 7²
LCM(26448,26460) = 58317840