What is the Least Common Multiple of 26165 and 26174?

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 26165 and 26174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26165 and 26174, than apply into the LCM equation.

GCF(26165,26174) = 1
LCM(26165,26174) = ( 26165 × 26174) / 1
LCM(26165,26174) = 684842710 / 1
LCM(26165,26174) = 684842710

Least Common Multiple (LCM) of 26165 and 26174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26165 and 26174. First we will calculate the prime factors of 26165 and 26174.

Prime Factorization of 26165

Prime Factorization of 26174

Now multiplying the highest exponent prime factors to calculate the LCM of 26165 and 26174.

LCM(26165,26174) = 5¹ × 5233¹ × 2¹ × 23¹ × 569¹
LCM(26165,26174) = 684842710