Least Common Multiple of 9341 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 9341 and 9348 the smallest integer that is 87319668 that is divisible by both numbers.

Least Common Multiple (LCM) of 9341 and 9348 is 87319668.

LCM(9341,9348) = 87319668

LCM of 9341 and 9348

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

LCM of:
and

Least Common Multiple of 9341 and 9348

LCM of 9341 and 9348 is 87319668

Least common multiple can be found by multiplying the highest exponent prime factors of 9341 and 9348. First we will calculate the prime factors of 9341 and 9348.

Prime Factorization of 9341


9341 9341
1

Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:

9341 = 93411

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 9341 and 9348.

LCM(9341,9348) = 22×31×191×411×93411
LCM(9341,9348) = 87319668

Factors of 9341

List of positive integer factors of 9341 that divides 9341 without a remainder.

1, 9341

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 9341 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 9341 and 9348, than apply into the LCM equation.

GCF(9341,9348) = 1
LCM(9341,9348) = ( 9341 × 9348) / 1
LCM(9341,9348) = 87319668 / 1
LCM(9341,9348) = 87319668

Properties of LCM 9341 and 9348

(i) The LCM of 9348 and 9341 is associative

LCM of 9341 and 9348 = LCM of 9348 and 9341

Related Least Common Multiples of 9341

Related Least Common Multiples of 9348

Frequently Asked Questions on LCM of 9341 and 9348

1. What is the LCM of 9341 and 9348?

Answer: LCM of 9341 and 9348 is 87319668.

2. What are the Factors of 9341?

Answer: Factors of 9341 are 1, 9341. There are 2 integers that are factors of 9341. The greatest factor of 9341 is 9341.

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 9341 and 9348?

Answer:

Least Common Multiple of 9341 and 9348 = 87319668

Step 1: Find the prime factorization of 9341

9341 = 9341

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 = 87319668 = 2 x 2 x 3 x 19 x 41 x 9341

Step 4: Therefore, the least common multiple of 9341 and 9348 is 87319668.