Least Common Multiple of 9347 and 9348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9347 and 9348 the smallest integer that is 87375756 that is divisible by both numbers.

Least Common Multiple (LCM) of 9347 and 9348 is 87375756.

LCM(9347,9348) = 87375756

LCM of 9347 and 9348

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

LCM of:
and

Least Common Multiple of 9347 and 9348

LCM of 9347 and 9348 is 87375756

Least common multiple can be found by multiplying the highest exponent prime factors of 9347 and 9348. First we will calculate the prime factors of 9347 and 9348.

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

Prime Factorization of 9348


2 9348
2 4674
3 2337
19 779
41 41
1

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 9347 and 9348.

LCM(9347,9348) = 22×31×131×191×411×7191
LCM(9347,9348) = 87375756

Factors of 9347

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

1, 13, 719, 9347

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

Least Common Multiple of 9347 and 9348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9347 and 9348, than apply into the LCM equation.

GCF(9347,9348) = 1
LCM(9347,9348) = ( 9347 × 9348) / 1
LCM(9347,9348) = 87375756 / 1
LCM(9347,9348) = 87375756

Properties of LCM 9347 and 9348

(i) The LCM of 9348 and 9347 is associative

LCM of 9347 and 9348 = LCM of 9348 and 9347

Related Least Common Multiples of 9347

Related Least Common Multiples of 9348

Frequently Asked Questions on LCM of 9347 and 9348

1. What is the LCM of 9347 and 9348?

Answer: LCM of 9347 and 9348 is 87375756.

2. 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.

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 9347 and 9348?

Answer:

Least Common Multiple of 9347 and 9348 = 87375756

Step 1: Find the prime factorization of 9347

9347 = 13 x 719

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 = 87375756 = 2 x 2 x 3 x 13 x 19 x 41 x 719

Step 4: Therefore, the least common multiple of 9347 and 9348 is 87375756.