What is the Least Common Multiple of 26146 and 26166?

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 26146 and 26166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26146 and 26166, than apply into the LCM equation.

GCF(26146,26166) = 2
LCM(26146,26166) = ( 26146 × 26166) / 2
LCM(26146,26166) = 684136236 / 2
LCM(26146,26166) = 342068118

Least Common Multiple (LCM) of 26146 and 26166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26146 and 26166. First we will calculate the prime factors of 26146 and 26166.

Prime Factorization of 26146

Prime Factorization of 26166

Now multiplying the highest exponent prime factors to calculate the LCM of 26146 and 26166.

LCM(26146,26166) = 2¹ × 17¹ × 769¹ × 3¹ × 7² × 89¹
LCM(26146,26166) = 342068118