What is the Least Common Multiple of 18429 and 18444?

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 18429 and 18444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18429 and 18444, than apply into the LCM equation.

GCF(18429,18444) = 3
LCM(18429,18444) = ( 18429 × 18444) / 3
LCM(18429,18444) = 339904476 / 3
LCM(18429,18444) = 113301492

Least Common Multiple (LCM) of 18429 and 18444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18429 and 18444. First we will calculate the prime factors of 18429 and 18444.

Prime Factorization of 18429

Prime Factorization of 18444

Now multiplying the highest exponent prime factors to calculate the LCM of 18429 and 18444.

LCM(18429,18444) = 3¹ × 6143¹ × 2² × 29¹ × 53¹
LCM(18429,18444) = 113301492