Least Common Multiple of 9352 and 9357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9352 and 9357 the smallest integer that is 87506664 that is divisible by both numbers.

Least Common Multiple (LCM) of 9352 and 9357 is 87506664.

LCM(9352,9357) = 87506664

LCM of 9352 and 9357

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

LCM of:
and

Least Common Multiple of 9352 and 9357

LCM of 9352 and 9357 is 87506664

Least common multiple can be found by multiplying the highest exponent prime factors of 9352 and 9357. First we will calculate the prime factors of 9352 and 9357.

Prime Factorization of 9352


2 9352
2 4676
2 2338
7 1169
167 167
1

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

9352 = 23×71×1671

Prime Factorization of 9357


3 9357
3119 3119
1

Prime factors of 9357 are 3,3119. Prime factorization of 9357 in exponential form is:

9357 = 31×31191

Now multiplying the highest exponent prime factors to calculate the LCM of 9352 and 9357.

LCM(9352,9357) = 23×31×71×1671×31191
LCM(9352,9357) = 87506664

Factors of 9352

List of positive integer factors of 9352 that divides 9352 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352

Factors of 9357

List of positive integer factors of 9357 that divides 9357 without a remainder.

1, 3, 3119, 9357

Least Common Multiple of 9352 and 9357 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 9357, than apply into the LCM equation.

GCF(9352,9357) = 1
LCM(9352,9357) = ( 9352 × 9357) / 1
LCM(9352,9357) = 87506664 / 1
LCM(9352,9357) = 87506664

Properties of LCM 9352 and 9357

(i) The LCM of 9357 and 9352 is associative

LCM of 9352 and 9357 = LCM of 9357 and 9352

Related Least Common Multiples of 9352

Related Least Common Multiples of 9357

Frequently Asked Questions on LCM of 9352 and 9357

1. What is the LCM of 9352 and 9357?

Answer: LCM of 9352 and 9357 is 87506664.

2. What are the Factors of 9352?

Answer: Factors of 9352 are 1, 2, 4, 7, 8, 14, 28, 56, 167, 334, 668, 1169, 1336, 2338, 4676, 9352. There are 16 integers that are factors of 9352. The greatest factor of 9352 is 9352.

3. What are the Factors of 9357?

Answer: Factors of 9357 are 1, 3, 3119, 9357. There are 4 integers that are factors of 9357. The greatest factor of 9357 is 9357.

4. How to Find the LCM of 9352 and 9357?

Answer:

Least Common Multiple of 9352 and 9357 = 87506664

Step 1: Find the prime factorization of 9352

9352 = 2 x 2 x 2 x 7 x 167

Step 2: Find the prime factorization of 9357

9357 = 3 x 3119

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

LCM = 87506664 = 2 x 2 x 2 x 3 x 7 x 167 x 3119

Step 4: Therefore, the least common multiple of 9352 and 9357 is 87506664.