What is the Least Common Multiple of 9438 and 9444?

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 9438 and 9444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9438 and 9444, than apply into the LCM equation.

GCF(9438,9444) = 6
LCM(9438,9444) = ( 9438 × 9444) / 6
LCM(9438,9444) = 89132472 / 6
LCM(9438,9444) = 14855412

Least Common Multiple (LCM) of 9438 and 9444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9438 and 9444. First we will calculate the prime factors of 9438 and 9444.

Prime Factorization of 9438

Prime Factorization of 9444

Now multiplying the highest exponent prime factors to calculate the LCM of 9438 and 9444.

LCM(9438,9444) = 2² × 3¹ × 11² × 13¹ × 787¹
LCM(9438,9444) = 14855412