What is the Least Common Multiple of 24429 and 24447?

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 24429 and 24447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24429 and 24447, than apply into the LCM equation.

GCF(24429,24447) = 3
LCM(24429,24447) = ( 24429 × 24447) / 3
LCM(24429,24447) = 597215763 / 3
LCM(24429,24447) = 199071921

Least Common Multiple (LCM) of 24429 and 24447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24429 and 24447. First we will calculate the prime factors of 24429 and 24447.

Prime Factorization of 24429

Prime Factorization of 24447

Now multiplying the highest exponent prime factors to calculate the LCM of 24429 and 24447.

LCM(24429,24447) = 3¹ × 17¹ × 479¹ × 29¹ × 281¹
LCM(24429,24447) = 199071921