What is the Least Common Multiple of 26835 and 26855?

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 26835 and 26855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26835 and 26855, than apply into the LCM equation.

GCF(26835,26855) = 5
LCM(26835,26855) = ( 26835 × 26855) / 5
LCM(26835,26855) = 720653925 / 5
LCM(26835,26855) = 144130785

Least Common Multiple (LCM) of 26835 and 26855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26835 and 26855. First we will calculate the prime factors of 26835 and 26855.

Prime Factorization of 26835

Prime Factorization of 26855

Now multiplying the highest exponent prime factors to calculate the LCM of 26835 and 26855.

LCM(26835,26855) = 3¹ × 5¹ × 1789¹ × 41¹ × 131¹
LCM(26835,26855) = 144130785