Least Common Multiple of 5259 and 5265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5259 and 5265 the smallest integer that is 9229545 that is divisible by both numbers.

Least Common Multiple (LCM) of 5259 and 5265 is 9229545.

LCM(5259,5265) = 9229545

LCM of 5259 and 5265

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

LCM of:
and

Least Common Multiple of 5259 and 5265

LCM of 5259 and 5265 is 9229545

Least common multiple can be found by multiplying the highest exponent prime factors of 5259 and 5265. First we will calculate the prime factors of 5259 and 5265.

Prime Factorization of 5259


3 5259
1753 1753
1

Prime factors of 5259 are 3,1753. Prime factorization of 5259 in exponential form is:

5259 = 31×17531

Prime Factorization of 5265


3 5265
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 5265 are 3, 5,13. Prime factorization of 5265 in exponential form is:

5265 = 34×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 5259 and 5265.

LCM(5259,5265) = 34×51×131×17531
LCM(5259,5265) = 9229545

Factors of 5259

List of positive integer factors of 5259 that divides 5259 without a remainder.

1, 3, 1753, 5259

Factors of 5265

List of positive integer factors of 5265 that divides 5265 without a remainder.

1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265

Least Common Multiple of 5259 and 5265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5259 and 5265, than apply into the LCM equation.

GCF(5259,5265) = 3
LCM(5259,5265) = ( 5259 × 5265) / 3
LCM(5259,5265) = 27688635 / 3
LCM(5259,5265) = 9229545

Properties of LCM 5259 and 5265

(i) The LCM of 5265 and 5259 is associative

LCM of 5259 and 5265 = LCM of 5265 and 5259

Related Least Common Multiples of 5259

Related Least Common Multiples of 5265

Frequently Asked Questions on LCM of 5259 and 5265

1. What is the LCM of 5259 and 5265?

Answer: LCM of 5259 and 5265 is 9229545.

2. What are the Factors of 5259?

Answer: Factors of 5259 are 1, 3, 1753, 5259. There are 4 integers that are factors of 5259. The greatest factor of 5259 is 5259.

3. What are the Factors of 5265?

Answer: Factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265. There are 20 integers that are factors of 5265. The greatest factor of 5265 is 5265.

4. How to Find the LCM of 5259 and 5265?

Answer:

Least Common Multiple of 5259 and 5265 = 9229545

Step 1: Find the prime factorization of 5259

5259 = 3 x 1753

Step 2: Find the prime factorization of 5265

5265 = 3 x 3 x 3 x 3 x 5 x 13

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

LCM = 9229545 = 3 x 3 x 3 x 3 x 5 x 13 x 1753

Step 4: Therefore, the least common multiple of 5259 and 5265 is 9229545.