Least Common Multiple of 5270 and 5278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5270 and 5278 the smallest integer that is 13907530 that is divisible by both numbers.

Least Common Multiple (LCM) of 5270 and 5278 is 13907530.

LCM(5270,5278) = 13907530

LCM of 5270 and 5278

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

LCM of:
and

Least Common Multiple of 5270 and 5278

LCM of 5270 and 5278 is 13907530

Least common multiple can be found by multiplying the highest exponent prime factors of 5270 and 5278. First we will calculate the prime factors of 5270 and 5278.

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

Prime Factorization of 5278


2 5278
7 2639
13 377
29 29
1

Prime factors of 5278 are 2, 7, 13,29. Prime factorization of 5278 in exponential form is:

5278 = 21×71×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5270 and 5278.

LCM(5270,5278) = 21×51×71×131×171×291×311
LCM(5270,5278) = 13907530

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

Factors of 5278

List of positive integer factors of 5278 that divides 5278 without a remainder.

1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639, 5278

Least Common Multiple of 5270 and 5278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5270 and 5278, than apply into the LCM equation.

GCF(5270,5278) = 2
LCM(5270,5278) = ( 5270 × 5278) / 2
LCM(5270,5278) = 27815060 / 2
LCM(5270,5278) = 13907530

Properties of LCM 5270 and 5278

(i) The LCM of 5278 and 5270 is associative

LCM of 5270 and 5278 = LCM of 5278 and 5270

Related Least Common Multiples of 5270

Related Least Common Multiples of 5278

Frequently Asked Questions on LCM of 5270 and 5278

1. What is the LCM of 5270 and 5278?

Answer: LCM of 5270 and 5278 is 13907530.

2. 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.

3. What are the Factors of 5278?

Answer: Factors of 5278 are 1, 2, 7, 13, 14, 26, 29, 58, 91, 182, 203, 377, 406, 754, 2639, 5278. There are 16 integers that are factors of 5278. The greatest factor of 5278 is 5278.

4. How to Find the LCM of 5270 and 5278?

Answer:

Least Common Multiple of 5270 and 5278 = 13907530

Step 1: Find the prime factorization of 5270

5270 = 2 x 5 x 17 x 31

Step 2: Find the prime factorization of 5278

5278 = 2 x 7 x 13 x 29

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

LCM = 13907530 = 2 x 5 x 7 x 13 x 17 x 29 x 31

Step 4: Therefore, the least common multiple of 5270 and 5278 is 13907530.