Least Common Multiple of 9351 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 9351 and 9357 the smallest integer that is 29165769 that is divisible by both numbers.

Least Common Multiple (LCM) of 9351 and 9357 is 29165769.

LCM(9351,9357) = 29165769

LCM of 9351 and 9357

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

LCM of:
and

Least Common Multiple of 9351 and 9357

LCM of 9351 and 9357 is 29165769

Least common multiple can be found by multiplying the highest exponent prime factors of 9351 and 9357. First we will calculate the prime factors of 9351 and 9357.

Prime Factorization of 9351


3 9351
3 3117
1039 1039
1

Prime factors of 9351 are 3,1039. Prime factorization of 9351 in exponential form is:

9351 = 32×10391

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 9351 and 9357.

LCM(9351,9357) = 32×10391×31191
LCM(9351,9357) = 29165769

Factors of 9351

List of positive integer factors of 9351 that divides 9351 without a remainder.

1, 3, 9, 1039, 3117, 9351

Factors of 9357

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

1, 3, 3119, 9357

Least Common Multiple of 9351 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 9351 and 9357, than apply into the LCM equation.

GCF(9351,9357) = 3
LCM(9351,9357) = ( 9351 × 9357) / 3
LCM(9351,9357) = 87497307 / 3
LCM(9351,9357) = 29165769

Properties of LCM 9351 and 9357

(i) The LCM of 9357 and 9351 is associative

LCM of 9351 and 9357 = LCM of 9357 and 9351

Related Least Common Multiples of 9351

Related Least Common Multiples of 9357

Frequently Asked Questions on LCM of 9351 and 9357

1. What is the LCM of 9351 and 9357?

Answer: LCM of 9351 and 9357 is 29165769.

2. What are the Factors of 9351?

Answer: Factors of 9351 are 1, 3, 9, 1039, 3117, 9351. There are 6 integers that are factors of 9351. The greatest factor of 9351 is 9351.

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 9351 and 9357?

Answer:

Least Common Multiple of 9351 and 9357 = 29165769

Step 1: Find the prime factorization of 9351

9351 = 3 x 3 x 1039

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 = 29165769 = 3 x 3 x 1039 x 3119

Step 4: Therefore, the least common multiple of 9351 and 9357 is 29165769.