Least Common Multiple of 9348 and 9356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9348 and 9356 the smallest integer that is 21864972 that is divisible by both numbers.

Least Common Multiple (LCM) of 9348 and 9356 is 21864972.

LCM(9348,9356) = 21864972

LCM of 9348 and 9356

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

LCM of:
and

Least Common Multiple of 9348 and 9356

LCM of 9348 and 9356 is 21864972

Least common multiple can be found by multiplying the highest exponent prime factors of 9348 and 9356. First we will calculate the prime factors of 9348 and 9356.

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

Prime Factorization of 9356


2 9356
2 4678
2339 2339
1

Prime factors of 9356 are 2,2339. Prime factorization of 9356 in exponential form is:

9356 = 22×23391

Now multiplying the highest exponent prime factors to calculate the LCM of 9348 and 9356.

LCM(9348,9356) = 22×31×191×411×23391
LCM(9348,9356) = 21864972

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

Factors of 9356

List of positive integer factors of 9356 that divides 9356 without a remainder.

1, 2, 4, 2339, 4678, 9356

Least Common Multiple of 9348 and 9356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9348 and 9356, than apply into the LCM equation.

GCF(9348,9356) = 4
LCM(9348,9356) = ( 9348 × 9356) / 4
LCM(9348,9356) = 87459888 / 4
LCM(9348,9356) = 21864972

Properties of LCM 9348 and 9356

(i) The LCM of 9356 and 9348 is associative

LCM of 9348 and 9356 = LCM of 9356 and 9348

Related Least Common Multiples of 9348

Related Least Common Multiples of 9356

Frequently Asked Questions on LCM of 9348 and 9356

1. What is the LCM of 9348 and 9356?

Answer: LCM of 9348 and 9356 is 21864972.

2. 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.

3. What are the Factors of 9356?

Answer: Factors of 9356 are 1, 2, 4, 2339, 4678, 9356. There are 6 integers that are factors of 9356. The greatest factor of 9356 is 9356.

4. How to Find the LCM of 9348 and 9356?

Answer:

Least Common Multiple of 9348 and 9356 = 21864972

Step 1: Find the prime factorization of 9348

9348 = 2 x 2 x 3 x 19 x 41

Step 2: Find the prime factorization of 9356

9356 = 2 x 2 x 2339

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

LCM = 21864972 = 2 x 2 x 3 x 19 x 41 x 2339

Step 4: Therefore, the least common multiple of 9348 and 9356 is 21864972.