Least Common Multiple of 9343 and 9348

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

• Least Common Multiple of 9343 and 9348 by Prime method
• Least Common Multiple of 9343 and 9348 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9343 and 9348. First we will calculate the prime factors of 9343 and 9348.

Prime Factorization of 9343

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

9343 = 9343¹

Prime Factorization of 9348

Prime factors of 9348 are 2, 3, 19,41. Prime factorization of 9348 in exponential form is:

9348 = 2²×3¹×19¹×41¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9343 and 9348.

LCM(9343,9348) = 2²×3¹×19¹×41¹×9343¹
LCM(9343,9348) = 87338364

Factors of 9343

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

1, 9343

Factors of 9348

List of positive integer factors of 9348 that divides 9348 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9343 and 9348, than apply into the LCM equation.

GCF(9343,9348) = 1
LCM(9343,9348) = ( 9343 × 9348) / 1
LCM(9343,9348) = 87338364 / 1
LCM(9343,9348) = 87338364

(i) The LCM of 9348 and 9343 is associative

LCM of 9343 and 9348 = LCM of 9348 and 9343

1. What is the LCM of 9343 and 9348?

Answer: LCM of 9343 and 9348 is 87338364.

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 9348?

Answer: Factors of 9348 are 1, 2, 3, 4, 6, 12, 19, 38, 41, 57, 76, 82, 114, 123, 164, 228, 246, 492, 779, 1558, 2337, 3116, 4674, 9348. There are 24 integers that are factors of 9348. The greatest factor of 9348 is 9348.

4. How to Find the LCM of 9343 and 9348?

Answer:

Least Common Multiple of 9343 and 9348 = 87338364

Step 1: Find the prime factorization of 9343

9343 = 9343

Step 2: Find the prime factorization of 9348

9348 = 2 x 2 x 3 x 19 x 41

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

LCM = 87338364 = 2 x 2 x 3 x 19 x 41 x 9343

Step 4: Therefore, the least common multiple of 9343 and 9348 is 87338364.