Least Common Multiple of 9343 and 9351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9343 and 9351 the smallest integer that is 87366393 that is divisible by both numbers.

Least Common Multiple (LCM) of 9343 and 9351 is 87366393.

LCM(9343,9351) = 87366393

LCM of 9343 and 9351

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

LCM of:
and

Least Common Multiple of 9343 and 9351

LCM of 9343 and 9351 is 87366393

Least common multiple can be found by multiplying the highest exponent prime factors of 9343 and 9351. First we will calculate the prime factors of 9343 and 9351.

Prime Factorization of 9343


9343 9343
1

Prime factors of 9343 are 9343. Prime factorization of 9343 in exponential form is:

9343 = 93431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9343 and 9351.

LCM(9343,9351) = 32×10391×93431
LCM(9343,9351) = 87366393

Factors of 9343

List of positive integer factors of 9343 that divides 9343 without a remainder.

1, 9343

Factors of 9351

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

1, 3, 9, 1039, 3117, 9351

Least Common Multiple of 9343 and 9351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9343 and 9351, than apply into the LCM equation.

GCF(9343,9351) = 1
LCM(9343,9351) = ( 9343 × 9351) / 1
LCM(9343,9351) = 87366393 / 1
LCM(9343,9351) = 87366393

Properties of LCM 9343 and 9351

(i) The LCM of 9351 and 9343 is associative

LCM of 9343 and 9351 = LCM of 9351 and 9343

Related Least Common Multiples of 9343

Related Least Common Multiples of 9351

Frequently Asked Questions on LCM of 9343 and 9351

1. What is the LCM of 9343 and 9351?

Answer: LCM of 9343 and 9351 is 87366393.

2. What are the Factors of 9343?

Answer: Factors of 9343 are 1, 9343. There are 2 integers that are factors of 9343. The greatest factor of 9343 is 9343.

3. 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.

4. How to Find the LCM of 9343 and 9351?

Answer:

Least Common Multiple of 9343 and 9351 = 87366393

Step 1: Find the prime factorization of 9343

9343 = 9343

Step 2: Find the prime factorization of 9351

9351 = 3 x 3 x 1039

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

LCM = 87366393 = 3 x 3 x 1039 x 9343

Step 4: Therefore, the least common multiple of 9343 and 9351 is 87366393.