Least Common Multiple of 9349 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 9349 and 9356 the smallest integer that is 87469244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9349 and 9356 is 87469244.

LCM(9349,9356) = 87469244

LCM of 9349 and 9356

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

LCM of:
and

Least Common Multiple of 9349 and 9356

LCM of 9349 and 9356 is 87469244

Least common multiple can be found by multiplying the highest exponent prime factors of 9349 and 9356. First we will calculate the prime factors of 9349 and 9356.

Prime Factorization of 9349


9349 9349
1

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

9349 = 93491

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 9349 and 9356.

LCM(9349,9356) = 22×23391×93491
LCM(9349,9356) = 87469244

Factors of 9349

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

1, 9349

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 9349 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 9349 and 9356, than apply into the LCM equation.

GCF(9349,9356) = 1
LCM(9349,9356) = ( 9349 × 9356) / 1
LCM(9349,9356) = 87469244 / 1
LCM(9349,9356) = 87469244

Properties of LCM 9349 and 9356

(i) The LCM of 9356 and 9349 is associative

LCM of 9349 and 9356 = LCM of 9356 and 9349

Related Least Common Multiples of 9349

Related Least Common Multiples of 9356

Frequently Asked Questions on LCM of 9349 and 9356

1. What is the LCM of 9349 and 9356?

Answer: LCM of 9349 and 9356 is 87469244.

2. 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.

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 9349 and 9356?

Answer:

Least Common Multiple of 9349 and 9356 = 87469244

Step 1: Find the prime factorization of 9349

9349 = 9349

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 = 87469244 = 2 x 2 x 2339 x 9349

Step 4: Therefore, the least common multiple of 9349 and 9356 is 87469244.