What is the Least Common Multiple of 9378 and 9392?

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 9378 and 9392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9378 and 9392, than apply into the LCM equation.

GCF(9378,9392) = 2
LCM(9378,9392) = ( 9378 × 9392) / 2
LCM(9378,9392) = 88078176 / 2
LCM(9378,9392) = 44039088

Least Common Multiple (LCM) of 9378 and 9392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9378 and 9392. First we will calculate the prime factors of 9378 and 9392.

Prime Factorization of 9378

Prime Factorization of 9392

Now multiplying the highest exponent prime factors to calculate the LCM of 9378 and 9392.

LCM(9378,9392) = 2⁴ × 3² × 521¹ × 587¹
LCM(9378,9392) = 44039088