What is the Least Common Multiple of 23824 and 23829?

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 23824 and 23829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23824 and 23829, than apply into the LCM equation.

GCF(23824,23829) = 1
LCM(23824,23829) = ( 23824 × 23829) / 1
LCM(23824,23829) = 567702096 / 1
LCM(23824,23829) = 567702096

Least Common Multiple (LCM) of 23824 and 23829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23824 and 23829. First we will calculate the prime factors of 23824 and 23829.

Prime Factorization of 23824

Prime Factorization of 23829

Now multiplying the highest exponent prime factors to calculate the LCM of 23824 and 23829.

LCM(23824,23829) = 2⁴ × 1489¹ × 3¹ × 13² × 47¹
LCM(23824,23829) = 567702096