Least Common Multiple of 9264 and 9269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9264 and 9269 the smallest integer that is 85868016 that is divisible by both numbers.

Least Common Multiple (LCM) of 9264 and 9269 is 85868016.

LCM(9264,9269) = 85868016

LCM of 9264 and 9269

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

LCM of:
and

Least Common Multiple of 9264 and 9269

LCM of 9264 and 9269 is 85868016

Least common multiple can be found by multiplying the highest exponent prime factors of 9264 and 9269. First we will calculate the prime factors of 9264 and 9269.

Prime Factorization of 9264


2 9264
2 4632
2 2316
2 1158
3 579
193 193
1

Prime factors of 9264 are 2, 3,193. Prime factorization of 9264 in exponential form is:

9264 = 24×31×1931

Prime Factorization of 9269


13 9269
23 713
31 31
1

Prime factors of 9269 are 13, 23,31. Prime factorization of 9269 in exponential form is:

9269 = 131×231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9264 and 9269.

LCM(9264,9269) = 24×31×131×231×311×1931
LCM(9264,9269) = 85868016

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264

Factors of 9269

List of positive integer factors of 9269 that divides 9269 without a remainder.

1, 13, 23, 31, 299, 403, 713, 9269

Least Common Multiple of 9264 and 9269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9264 and 9269, than apply into the LCM equation.

GCF(9264,9269) = 1
LCM(9264,9269) = ( 9264 × 9269) / 1
LCM(9264,9269) = 85868016 / 1
LCM(9264,9269) = 85868016

Properties of LCM 9264 and 9269

(i) The LCM of 9269 and 9264 is associative

LCM of 9264 and 9269 = LCM of 9269 and 9264

Related Least Common Multiples of 9264

Related Least Common Multiples of 9269

Frequently Asked Questions on LCM of 9264 and 9269

1. What is the LCM of 9264 and 9269?

Answer: LCM of 9264 and 9269 is 85868016.

2. What are the Factors of 9264?

Answer: Factors of 9264 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 193, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 9264. There are 20 integers that are factors of 9264. The greatest factor of 9264 is 9264.

3. What are the Factors of 9269?

Answer: Factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269. There are 8 integers that are factors of 9269. The greatest factor of 9269 is 9269.

4. How to Find the LCM of 9264 and 9269?

Answer:

Least Common Multiple of 9264 and 9269 = 85868016

Step 1: Find the prime factorization of 9264

9264 = 2 x 2 x 2 x 2 x 3 x 193

Step 2: Find the prime factorization of 9269

9269 = 13 x 23 x 31

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

LCM = 85868016 = 2 x 2 x 2 x 2 x 3 x 13 x 23 x 31 x 193

Step 4: Therefore, the least common multiple of 9264 and 9269 is 85868016.