What is the Least Common Multiple of 9324 and 9328?

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 9324 and 9328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9324 and 9328, than apply into the LCM equation.

GCF(9324,9328) = 4
LCM(9324,9328) = ( 9324 × 9328) / 4
LCM(9324,9328) = 86974272 / 4
LCM(9324,9328) = 21743568

Least Common Multiple (LCM) of 9324 and 9328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9324 and 9328. First we will calculate the prime factors of 9324 and 9328.

Prime Factorization of 9324

Prime Factorization of 9328

Now multiplying the highest exponent prime factors to calculate the LCM of 9324 and 9328.

LCM(9324,9328) = 2⁴ × 3² × 7¹ × 37¹ × 11¹ × 53¹
LCM(9324,9328) = 21743568