What is the Least Common Multiple of 13805 and 13823?

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 13805 and 13823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13805 and 13823, than apply into the LCM equation.

GCF(13805,13823) = 1
LCM(13805,13823) = ( 13805 × 13823) / 1
LCM(13805,13823) = 190826515 / 1
LCM(13805,13823) = 190826515

Least Common Multiple (LCM) of 13805 and 13823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13805 and 13823. First we will calculate the prime factors of 13805 and 13823.

Prime Factorization of 13805

Prime Factorization of 13823

Now multiplying the highest exponent prime factors to calculate the LCM of 13805 and 13823.

LCM(13805,13823) = 5¹ × 11¹ × 251¹ × 23¹ × 601¹
LCM(13805,13823) = 190826515