Least Common Multiple of 9345 and 9353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9345 and 9353 the smallest integer that is 87403785 that is divisible by both numbers.

Least Common Multiple (LCM) of 9345 and 9353 is 87403785.

LCM(9345,9353) = 87403785

LCM of 9345 and 9353

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9345 and 9353

LCM of 9345 and 9353 is 87403785

Least common multiple can be found by multiplying the highest exponent prime factors of 9345 and 9353. First we will calculate the prime factors of 9345 and 9353.

Prime Factorization of 9345


3 9345
5 3115
7 623
89 89
1

Prime factors of 9345 are 3, 5, 7,89. Prime factorization of 9345 in exponential form is:

9345 = 31×51×71×891

Prime Factorization of 9353


47 9353
199 199
1

Prime factors of 9353 are 47,199. Prime factorization of 9353 in exponential form is:

9353 = 471×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9345 and 9353.

LCM(9345,9353) = 31×51×71×471×891×1991
LCM(9345,9353) = 87403785

Factors of 9345

List of positive integer factors of 9345 that divides 9345 without a remainder.

1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115, 9345

Factors of 9353

List of positive integer factors of 9353 that divides 9353 without a remainder.

1, 47, 199, 9353

Least Common Multiple of 9345 and 9353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9345 and 9353, than apply into the LCM equation.

GCF(9345,9353) = 1
LCM(9345,9353) = ( 9345 × 9353) / 1
LCM(9345,9353) = 87403785 / 1
LCM(9345,9353) = 87403785

Properties of LCM 9345 and 9353

(i) The LCM of 9353 and 9345 is associative

LCM of 9345 and 9353 = LCM of 9353 and 9345

Related Least Common Multiples of 9345

Related Least Common Multiples of 9353

Frequently Asked Questions on LCM of 9345 and 9353

1. What is the LCM of 9345 and 9353?

Answer: LCM of 9345 and 9353 is 87403785.

2. What are the Factors of 9345?

Answer: Factors of 9345 are 1, 3, 5, 7, 15, 21, 35, 89, 105, 267, 445, 623, 1335, 1869, 3115, 9345. There are 16 integers that are factors of 9345. The greatest factor of 9345 is 9345.

3. What are the Factors of 9353?

Answer: Factors of 9353 are 1, 47, 199, 9353. There are 4 integers that are factors of 9353. The greatest factor of 9353 is 9353.

4. How to Find the LCM of 9345 and 9353?

Answer:

Least Common Multiple of 9345 and 9353 = 87403785

Step 1: Find the prime factorization of 9345

9345 = 3 x 5 x 7 x 89

Step 2: Find the prime factorization of 9353

9353 = 47 x 199

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 87403785 = 3 x 5 x 7 x 47 x 89 x 199

Step 4: Therefore, the least common multiple of 9345 and 9353 is 87403785.