What is the Least Common Multiple of 26154 and 26168?

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 26154 and 26168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26154 and 26168, than apply into the LCM equation.

GCF(26154,26168) = 2
LCM(26154,26168) = ( 26154 × 26168) / 2
LCM(26154,26168) = 684397872 / 2
LCM(26154,26168) = 342198936

Least Common Multiple (LCM) of 26154 and 26168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26154 and 26168. First we will calculate the prime factors of 26154 and 26168.

Prime Factorization of 26154

Prime Factorization of 26168

Now multiplying the highest exponent prime factors to calculate the LCM of 26154 and 26168.

LCM(26154,26168) = 2³ × 3² × 1453¹ × 3271¹
LCM(26154,26168) = 342198936