What is the Least Common Multiple of 26138 and 26144?

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 26138 and 26144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26138 and 26144, than apply into the LCM equation.

GCF(26138,26144) = 2
LCM(26138,26144) = ( 26138 × 26144) / 2
LCM(26138,26144) = 683351872 / 2
LCM(26138,26144) = 341675936

Least Common Multiple (LCM) of 26138 and 26144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26138 and 26144. First we will calculate the prime factors of 26138 and 26144.

Prime Factorization of 26138

Prime Factorization of 26144

Now multiplying the highest exponent prime factors to calculate the LCM of 26138 and 26144.

LCM(26138,26144) = 2⁵ × 7¹ × 1867¹ × 19¹ × 43¹
LCM(26138,26144) = 341675936