What is the Least Common Multiple of 23827 and 23843?

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 23827 and 23843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23827 and 23843, than apply into the LCM equation.

GCF(23827,23843) = 1
LCM(23827,23843) = ( 23827 × 23843) / 1
LCM(23827,23843) = 568107161 / 1
LCM(23827,23843) = 568107161

Least Common Multiple (LCM) of 23827 and 23843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23827 and 23843. First we will calculate the prime factors of 23827 and 23843.

Prime Factorization of 23827

Prime Factorization of 23843

Now multiplying the highest exponent prime factors to calculate the LCM of 23827 and 23843.

LCM(23827,23843) = 23827¹ × 113¹ × 211¹
LCM(23827,23843) = 568107161