Least Common Multiple of 9249 and 9256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9249 and 9256 the smallest integer that is 85608744 that is divisible by both numbers.

Least Common Multiple (LCM) of 9249 and 9256 is 85608744.

LCM(9249,9256) = 85608744

LCM of 9249 and 9256

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

LCM of:
and

Least Common Multiple of 9249 and 9256

LCM of 9249 and 9256 is 85608744

Least common multiple can be found by multiplying the highest exponent prime factors of 9249 and 9256. First we will calculate the prime factors of 9249 and 9256.

Prime Factorization of 9249


3 9249
3083 3083
1

Prime factors of 9249 are 3,3083. Prime factorization of 9249 in exponential form is:

9249 = 31×30831

Prime Factorization of 9256


2 9256
2 4628
2 2314
13 1157
89 89
1

Prime factors of 9256 are 2, 13,89. Prime factorization of 9256 in exponential form is:

9256 = 23×131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 9249 and 9256.

LCM(9249,9256) = 23×31×131×891×30831
LCM(9249,9256) = 85608744

Factors of 9249

List of positive integer factors of 9249 that divides 9249 without a remainder.

1, 3, 3083, 9249

Factors of 9256

List of positive integer factors of 9256 that divides 9256 without a remainder.

1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256

Least Common Multiple of 9249 and 9256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9249 and 9256, than apply into the LCM equation.

GCF(9249,9256) = 1
LCM(9249,9256) = ( 9249 × 9256) / 1
LCM(9249,9256) = 85608744 / 1
LCM(9249,9256) = 85608744

Properties of LCM 9249 and 9256

(i) The LCM of 9256 and 9249 is associative

LCM of 9249 and 9256 = LCM of 9256 and 9249

Related Least Common Multiples of 9249

Related Least Common Multiples of 9256

Frequently Asked Questions on LCM of 9249 and 9256

1. What is the LCM of 9249 and 9256?

Answer: LCM of 9249 and 9256 is 85608744.

2. What are the Factors of 9249?

Answer: Factors of 9249 are 1, 3, 3083, 9249. There are 4 integers that are factors of 9249. The greatest factor of 9249 is 9249.

3. What are the Factors of 9256?

Answer: Factors of 9256 are 1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256. There are 16 integers that are factors of 9256. The greatest factor of 9256 is 9256.

4. How to Find the LCM of 9249 and 9256?

Answer:

Least Common Multiple of 9249 and 9256 = 85608744

Step 1: Find the prime factorization of 9249

9249 = 3 x 3083

Step 2: Find the prime factorization of 9256

9256 = 2 x 2 x 2 x 13 x 89

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

LCM = 85608744 = 2 x 2 x 2 x 3 x 13 x 89 x 3083

Step 4: Therefore, the least common multiple of 9249 and 9256 is 85608744.