GCF and LCM Calculator Logo

What is the Least Common Multiple of 9352 and 9365?

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 9352 and 9365 is 87581480.

LCM(9352,9365) = 87581480

LCM Calculator and
and

Least Common Multiple of 9352 and 9365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9352 and 9365, than apply into the LCM equation.

GCF(9352,9365) = 1
LCM(9352,9365) = ( 9352 × 9365) / 1
LCM(9352,9365) = 87581480 / 1
LCM(9352,9365) = 87581480

Least Common Multiple (LCM) of 9352 and 9365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9352 and 9365. First we will calculate the prime factors of 9352 and 9365.

Prime Factorization of 9352

Prime factors of 9352 are 2, 7, 167. Prime factorization of 9352 in exponential form is:

9352 = 23 × 71 × 1671

Prime Factorization of 9365

Prime factors of 9365 are 5, 1873. Prime factorization of 9365 in exponential form is:

9365 = 51 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 9352 and 9365.

LCM(9352,9365) = 23 × 71 × 1671 × 51 × 18731
LCM(9352,9365) = 87581480