What is the Least Common Multiple of 23838 and 23853?

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 23838 and 23853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23838 and 23853, than apply into the LCM equation.

GCF(23838,23853) = 3
LCM(23838,23853) = ( 23838 × 23853) / 3
LCM(23838,23853) = 568607814 / 3
LCM(23838,23853) = 189535938

Least Common Multiple (LCM) of 23838 and 23853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23838 and 23853. First we will calculate the prime factors of 23838 and 23853.

Prime Factorization of 23838

Prime Factorization of 23853

Now multiplying the highest exponent prime factors to calculate the LCM of 23838 and 23853.

LCM(23838,23853) = 2¹ × 3¹ × 29¹ × 137¹ × 7951¹
LCM(23838,23853) = 189535938