What is the Least Common Multiple of 26129 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 26129 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 26129 and 26146, than apply into the LCM equation.

GCF(26129,26146) = 17
LCM(26129,26146) = ( 26129 × 26146) / 17
LCM(26129,26146) = 683168834 / 17
LCM(26129,26146) = 40186402

Least Common Multiple (LCM) of 26129 and 26146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26129 and 26146. First we will calculate the prime factors of 26129 and 26146.

Prime Factorization of 26129

Prime Factorization of 26146

Now multiplying the highest exponent prime factors to calculate the LCM of 26129 and 26146.

LCM(26129,26146) = 17¹ × 29¹ × 53¹ × 2¹ × 769¹
LCM(26129,26146) = 40186402