GCF and LCM Calculator Logo

What is the Least Common Multiple of 9309 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 (LCM) of 9309 and 9328 is 86834352.

LCM(9309,9328) = 86834352

LCM Calculator and
and

Least Common Multiple of 9309 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 9309 and 9328, than apply into the LCM equation.

GCF(9309,9328) = 1
LCM(9309,9328) = ( 9309 × 9328) / 1
LCM(9309,9328) = 86834352 / 1
LCM(9309,9328) = 86834352

Least Common Multiple (LCM) of 9309 and 9328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9309 and 9328. First we will calculate the prime factors of 9309 and 9328.

Prime Factorization of 9309

Prime factors of 9309 are 3, 29, 107. Prime factorization of 9309 in exponential form is:

9309 = 31 × 291 × 1071

Prime Factorization of 9328

Prime factors of 9328 are 2, 11, 53. Prime factorization of 9328 in exponential form is:

9328 = 24 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 9309 and 9328.

LCM(9309,9328) = 31 × 291 × 1071 × 24 × 111 × 531
LCM(9309,9328) = 86834352