What is the Least Common Multiple of 26172 and 26185?

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 26172 and 26185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26172 and 26185, than apply into the LCM equation.

GCF(26172,26185) = 1
LCM(26172,26185) = ( 26172 × 26185) / 1
LCM(26172,26185) = 685313820 / 1
LCM(26172,26185) = 685313820

Least Common Multiple (LCM) of 26172 and 26185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26172 and 26185. First we will calculate the prime factors of 26172 and 26185.

Prime Factorization of 26172

Prime Factorization of 26185

Now multiplying the highest exponent prime factors to calculate the LCM of 26172 and 26185.

LCM(26172,26185) = 2² × 3² × 727¹ × 5¹ × 5237¹
LCM(26172,26185) = 685313820