Least Common Multiple of 5265 and 5273

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 5273 the smallest integer that is 27762345 that is divisible by both numbers.

Least Common Multiple (LCM) of 5265 and 5273 is 27762345.

LCM(5265,5273) = 27762345

LCM of 5265 and 5273

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

LCM of:
and

Least Common Multiple of 5265 and 5273

LCM of 5265 and 5273 is 27762345

Least common multiple can be found by multiplying the highest exponent prime factors of 5265 and 5273. First we will calculate the prime factors of 5265 and 5273.

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 5273


5273 5273
1

Prime factors of 5273 are 5273. Prime factorization of 5273 in exponential form is:

5273 = 52731

Now multiplying the highest exponent prime factors to calculate the LCM of 5265 and 5273.

LCM(5265,5273) = 34×51×131×52731
LCM(5265,5273) = 27762345

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 5273

List of positive integer factors of 5273 that divides 5273 without a remainder.

1, 5273

Least Common Multiple of 5265 and 5273 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 5273, than apply into the LCM equation.

GCF(5265,5273) = 1
LCM(5265,5273) = ( 5265 × 5273) / 1
LCM(5265,5273) = 27762345 / 1
LCM(5265,5273) = 27762345

Properties of LCM 5265 and 5273

(i) The LCM of 5273 and 5265 is associative

LCM of 5265 and 5273 = LCM of 5273 and 5265

Related Least Common Multiples of 5265

Related Least Common Multiples of 5273

Frequently Asked Questions on LCM of 5265 and 5273

1. What is the LCM of 5265 and 5273?

Answer: LCM of 5265 and 5273 is 27762345.

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 5273?

Answer: Factors of 5273 are 1, 5273. There are 2 integers that are factors of 5273. The greatest factor of 5273 is 5273.

4. How to Find the LCM of 5265 and 5273?

Answer:

Least Common Multiple of 5265 and 5273 = 27762345

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 5273

5273 = 5273

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

LCM = 27762345 = 3 x 3 x 3 x 3 x 5 x 13 x 5273

Step 4: Therefore, the least common multiple of 5265 and 5273 is 27762345.