What is the Least Common Multiple of 26174 and 26194?

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 26174 and 26194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26174 and 26194, than apply into the LCM equation.

GCF(26174,26194) = 2
LCM(26174,26194) = ( 26174 × 26194) / 2
LCM(26174,26194) = 685601756 / 2
LCM(26174,26194) = 342800878

Least Common Multiple (LCM) of 26174 and 26194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26174 and 26194. First we will calculate the prime factors of 26174 and 26194.

Prime Factorization of 26174

Prime Factorization of 26194

Now multiplying the highest exponent prime factors to calculate the LCM of 26174 and 26194.

LCM(26174,26194) = 2¹ × 23¹ × 569¹ × 7¹ × 1871¹
LCM(26174,26194) = 342800878