Least Common Multiple of 9343 and 9349

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 9349 the smallest integer that is 87347707 that is divisible by both numbers.

Least Common Multiple (LCM) of 9343 and 9349 is 87347707.

LCM(9343,9349) = 87347707

LCM of 9343 and 9349

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

LCM of:
and

Least Common Multiple of 9343 and 9349

LCM of 9343 and 9349 is 87347707

Least common multiple can be found by multiplying the highest exponent prime factors of 9343 and 9349. First we will calculate the prime factors of 9343 and 9349.

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 9349


9349 9349
1

Prime factors of 9349 are 9349. Prime factorization of 9349 in exponential form is:

9349 = 93491

Now multiplying the highest exponent prime factors to calculate the LCM of 9343 and 9349.

LCM(9343,9349) = 93431×93491
LCM(9343,9349) = 87347707

Factors of 9343

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

1, 9343

Factors of 9349

List of positive integer factors of 9349 that divides 9349 without a remainder.

1, 9349

Least Common Multiple of 9343 and 9349 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 9349, than apply into the LCM equation.

GCF(9343,9349) = 1
LCM(9343,9349) = ( 9343 × 9349) / 1
LCM(9343,9349) = 87347707 / 1
LCM(9343,9349) = 87347707

Properties of LCM 9343 and 9349

(i) The LCM of 9349 and 9343 is associative

LCM of 9343 and 9349 = LCM of 9349 and 9343

Related Least Common Multiples of 9343

Related Least Common Multiples of 9349

Frequently Asked Questions on LCM of 9343 and 9349

1. What is the LCM of 9343 and 9349?

Answer: LCM of 9343 and 9349 is 87347707.

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 9349?

Answer: Factors of 9349 are 1, 9349. There are 2 integers that are factors of 9349. The greatest factor of 9349 is 9349.

4. How to Find the LCM of 9343 and 9349?

Answer:

Least Common Multiple of 9343 and 9349 = 87347707

Step 1: Find the prime factorization of 9343

9343 = 9343

Step 2: Find the prime factorization of 9349

9349 = 9349

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

LCM = 87347707 = 9343 x 9349

Step 4: Therefore, the least common multiple of 9343 and 9349 is 87347707.