What is the Least Common Multiple of 26128 and 26146?

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 26128 and 26146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26128 and 26146, than apply into the LCM equation.

GCF(26128,26146) = 2
LCM(26128,26146) = ( 26128 × 26146) / 2
LCM(26128,26146) = 683142688 / 2
LCM(26128,26146) = 341571344

Least Common Multiple (LCM) of 26128 and 26146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26128 and 26146. First we will calculate the prime factors of 26128 and 26146.

Prime Factorization of 26128

Prime Factorization of 26146

Now multiplying the highest exponent prime factors to calculate the LCM of 26128 and 26146.

LCM(26128,26146) = 2⁴ × 23¹ × 71¹ × 17¹ × 769¹
LCM(26128,26146) = 341571344