What is the Least Common Multiple of 26448 and 26468?

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 26468 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 26468, than apply into the LCM equation.

GCF(26448,26468) = 4
LCM(26448,26468) = ( 26448 × 26468) / 4
LCM(26448,26468) = 700025664 / 4
LCM(26448,26468) = 175006416

Least Common Multiple (LCM) of 26448 and 26468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26448 and 26468. First we will calculate the prime factors of 26448 and 26468.

Prime Factorization of 26448

Prime Factorization of 26468

Now multiplying the highest exponent prime factors to calculate the LCM of 26448 and 26468.

LCM(26448,26468) = 2⁴ × 3¹ × 19¹ × 29¹ × 13¹ × 509¹
LCM(26448,26468) = 175006416