What is the Least Common Multiple of 26185 and 26192?

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 26185 and 26192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26185 and 26192, than apply into the LCM equation.

GCF(26185,26192) = 1
LCM(26185,26192) = ( 26185 × 26192) / 1
LCM(26185,26192) = 685837520 / 1
LCM(26185,26192) = 685837520

Least Common Multiple (LCM) of 26185 and 26192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26185 and 26192. First we will calculate the prime factors of 26185 and 26192.

Prime Factorization of 26185

Prime Factorization of 26192

Now multiplying the highest exponent prime factors to calculate the LCM of 26185 and 26192.

LCM(26185,26192) = 5¹ × 5237¹ × 2⁴ × 1637¹
LCM(26185,26192) = 685837520