Least Common Multiple of 5265 and 5270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5265 and 5270 the smallest integer that is 5549310 that is divisible by both numbers.

Least Common Multiple (LCM) of 5265 and 5270 is 5549310.

LCM(5265,5270) = 5549310

LCM of 5265 and 5270

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

LCM of:
and

Least Common Multiple of 5265 and 5270

LCM of 5265 and 5270 is 5549310

Least common multiple can be found by multiplying the highest exponent prime factors of 5265 and 5270. First we will calculate the prime factors of 5265 and 5270.

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

Prime Factorization of 5270


2 5270
5 2635
17 527
31 31
1

Prime factors of 5270 are 2, 5, 17,31. Prime factorization of 5270 in exponential form is:

5270 = 21×51×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5265 and 5270.

LCM(5265,5270) = 21×34×51×131×171×311
LCM(5265,5270) = 5549310

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

Factors of 5270

List of positive integer factors of 5270 that divides 5270 without a remainder.

1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270

Least Common Multiple of 5265 and 5270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5265 and 5270, than apply into the LCM equation.

GCF(5265,5270) = 5
LCM(5265,5270) = ( 5265 × 5270) / 5
LCM(5265,5270) = 27746550 / 5
LCM(5265,5270) = 5549310

Properties of LCM 5265 and 5270

(i) The LCM of 5270 and 5265 is associative

LCM of 5265 and 5270 = LCM of 5270 and 5265

Related Least Common Multiples of 5265

Related Least Common Multiples of 5270

Frequently Asked Questions on LCM of 5265 and 5270

1. What is the LCM of 5265 and 5270?

Answer: LCM of 5265 and 5270 is 5549310.

2. 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.

3. What are the Factors of 5270?

Answer: Factors of 5270 are 1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270. There are 16 integers that are factors of 5270. The greatest factor of 5270 is 5270.

4. How to Find the LCM of 5265 and 5270?

Answer:

Least Common Multiple of 5265 and 5270 = 5549310

Step 1: Find the prime factorization of 5265

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

Step 2: Find the prime factorization of 5270

5270 = 2 x 5 x 17 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 = 5549310 = 2 x 3 x 3 x 3 x 3 x 5 x 13 x 17 x 31

Step 4: Therefore, the least common multiple of 5265 and 5270 is 5549310.