Least Common Multiple of 9337 and 9345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9337 and 9345 the smallest integer that is 87254265 that is divisible by both numbers.

Least Common Multiple (LCM) of 9337 and 9345 is 87254265.

LCM(9337,9345) = 87254265

LCM of 9337 and 9345

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

LCM of:
and

Least Common Multiple of 9337 and 9345

LCM of 9337 and 9345 is 87254265

Least common multiple can be found by multiplying the highest exponent prime factors of 9337 and 9345. First we will calculate the prime factors of 9337 and 9345.

Prime Factorization of 9337


9337 9337
1

Prime factors of 9337 are 9337. Prime factorization of 9337 in exponential form is:

9337 = 93371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9337 and 9345.

LCM(9337,9345) = 31×51×71×891×93371
LCM(9337,9345) = 87254265

Factors of 9337

List of positive integer factors of 9337 that divides 9337 without a remainder.

1, 9337

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

Least Common Multiple of 9337 and 9345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9337 and 9345, than apply into the LCM equation.

GCF(9337,9345) = 1
LCM(9337,9345) = ( 9337 × 9345) / 1
LCM(9337,9345) = 87254265 / 1
LCM(9337,9345) = 87254265

Properties of LCM 9337 and 9345

(i) The LCM of 9345 and 9337 is associative

LCM of 9337 and 9345 = LCM of 9345 and 9337

Related Least Common Multiples of 9337

Related Least Common Multiples of 9345

Frequently Asked Questions on LCM of 9337 and 9345

1. What is the LCM of 9337 and 9345?

Answer: LCM of 9337 and 9345 is 87254265.

2. What are the Factors of 9337?

Answer: Factors of 9337 are 1, 9337. There are 2 integers that are factors of 9337. The greatest factor of 9337 is 9337.

3. 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.

4. How to Find the LCM of 9337 and 9345?

Answer:

Least Common Multiple of 9337 and 9345 = 87254265

Step 1: Find the prime factorization of 9337

9337 = 9337

Step 2: Find the prime factorization of 9345

9345 = 3 x 5 x 7 x 89

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

LCM = 87254265 = 3 x 5 x 7 x 89 x 9337

Step 4: Therefore, the least common multiple of 9337 and 9345 is 87254265.