What is the Least Common Multiple of 26036 and 26041?

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 26036 and 26041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26036 and 26041, than apply into the LCM equation.

GCF(26036,26041) = 1
LCM(26036,26041) = ( 26036 × 26041) / 1
LCM(26036,26041) = 678003476 / 1
LCM(26036,26041) = 678003476

Least Common Multiple (LCM) of 26036 and 26041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26036 and 26041. First we will calculate the prime factors of 26036 and 26041.

Prime Factorization of 26036

Prime Factorization of 26041

Now multiplying the highest exponent prime factors to calculate the LCM of 26036 and 26041.

LCM(26036,26041) = 2² × 23¹ × 283¹ × 26041¹
LCM(26036,26041) = 678003476