Least Common Multiple of 9343 and 9347

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 9347 the smallest integer that is 87329021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9343 and 9347 is 87329021.

LCM(9343,9347) = 87329021

LCM of 9343 and 9347

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

LCM of:
and

Least Common Multiple of 9343 and 9347

LCM of 9343 and 9347 is 87329021

Least common multiple can be found by multiplying the highest exponent prime factors of 9343 and 9347. First we will calculate the prime factors of 9343 and 9347.

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 9347


13 9347
719 719
1

Prime factors of 9347 are 13,719. Prime factorization of 9347 in exponential form is:

9347 = 131×7191

Now multiplying the highest exponent prime factors to calculate the LCM of 9343 and 9347.

LCM(9343,9347) = 131×7191×93431
LCM(9343,9347) = 87329021

Factors of 9343

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

1, 9343

Factors of 9347

List of positive integer factors of 9347 that divides 9347 without a remainder.

1, 13, 719, 9347

Least Common Multiple of 9343 and 9347 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 9347, than apply into the LCM equation.

GCF(9343,9347) = 1
LCM(9343,9347) = ( 9343 × 9347) / 1
LCM(9343,9347) = 87329021 / 1
LCM(9343,9347) = 87329021

Properties of LCM 9343 and 9347

(i) The LCM of 9347 and 9343 is associative

LCM of 9343 and 9347 = LCM of 9347 and 9343

Related Least Common Multiples of 9343

Related Least Common Multiples of 9347

Frequently Asked Questions on LCM of 9343 and 9347

1. What is the LCM of 9343 and 9347?

Answer: LCM of 9343 and 9347 is 87329021.

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 9347?

Answer: Factors of 9347 are 1, 13, 719, 9347. There are 4 integers that are factors of 9347. The greatest factor of 9347 is 9347.

4. How to Find the LCM of 9343 and 9347?

Answer:

Least Common Multiple of 9343 and 9347 = 87329021

Step 1: Find the prime factorization of 9343

9343 = 9343

Step 2: Find the prime factorization of 9347

9347 = 13 x 719

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

LCM = 87329021 = 13 x 719 x 9343

Step 4: Therefore, the least common multiple of 9343 and 9347 is 87329021.