Least Common Multiple of 5264 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 5264 and 5270 the smallest integer that is 13870640 that is divisible by both numbers.

Least Common Multiple (LCM) of 5264 and 5270 is 13870640.

LCM(5264,5270) = 13870640

LCM of 5264 and 5270

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

LCM of:
and

Least Common Multiple of 5264 and 5270

LCM of 5264 and 5270 is 13870640

Least common multiple can be found by multiplying the highest exponent prime factors of 5264 and 5270. First we will calculate the prime factors of 5264 and 5270.

Prime Factorization of 5264


2 5264
2 2632
2 1316
2 658
7 329
47 47
1

Prime factors of 5264 are 2, 7,47. Prime factorization of 5264 in exponential form is:

5264 = 24×71×471

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 5264 and 5270.

LCM(5264,5270) = 24×51×71×171×311×471
LCM(5264,5270) = 13870640

Factors of 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264

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 5264 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 5264 and 5270, than apply into the LCM equation.

GCF(5264,5270) = 2
LCM(5264,5270) = ( 5264 × 5270) / 2
LCM(5264,5270) = 27741280 / 2
LCM(5264,5270) = 13870640

Properties of LCM 5264 and 5270

(i) The LCM of 5270 and 5264 is associative

LCM of 5264 and 5270 = LCM of 5270 and 5264

Related Least Common Multiples of 5264

Related Least Common Multiples of 5270

Frequently Asked Questions on LCM of 5264 and 5270

1. What is the LCM of 5264 and 5270?

Answer: LCM of 5264 and 5270 is 13870640.

2. What are the Factors of 5264?

Answer: Factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264. There are 20 integers that are factors of 5264. The greatest factor of 5264 is 5264.

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 5264 and 5270?

Answer:

Least Common Multiple of 5264 and 5270 = 13870640

Step 1: Find the prime factorization of 5264

5264 = 2 x 2 x 2 x 2 x 7 x 47

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 = 13870640 = 2 x 2 x 2 x 2 x 5 x 7 x 17 x 31 x 47

Step 4: Therefore, the least common multiple of 5264 and 5270 is 13870640.