Least Common Multiple of 5270 and 5276

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 5276 the smallest integer that is 13902260 that is divisible by both numbers.

Least Common Multiple (LCM) of 5270 and 5276 is 13902260.

LCM(5270,5276) = 13902260

LCM of 5270 and 5276

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

LCM of:
and

Least Common Multiple of 5270 and 5276

LCM of 5270 and 5276 is 13902260

Least common multiple can be found by multiplying the highest exponent prime factors of 5270 and 5276. First we will calculate the prime factors of 5270 and 5276.

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 5276


2 5276
2 2638
1319 1319
1

Prime factors of 5276 are 2,1319. Prime factorization of 5276 in exponential form is:

5276 = 22×13191

Now multiplying the highest exponent prime factors to calculate the LCM of 5270 and 5276.

LCM(5270,5276) = 22×51×171×311×13191
LCM(5270,5276) = 13902260

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 5276

List of positive integer factors of 5276 that divides 5276 without a remainder.

1, 2, 4, 1319, 2638, 5276

Least Common Multiple of 5270 and 5276 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 5276, than apply into the LCM equation.

GCF(5270,5276) = 2
LCM(5270,5276) = ( 5270 × 5276) / 2
LCM(5270,5276) = 27804520 / 2
LCM(5270,5276) = 13902260

Properties of LCM 5270 and 5276

(i) The LCM of 5276 and 5270 is associative

LCM of 5270 and 5276 = LCM of 5276 and 5270

Related Least Common Multiples of 5270

Related Least Common Multiples of 5276

Frequently Asked Questions on LCM of 5270 and 5276

1. What is the LCM of 5270 and 5276?

Answer: LCM of 5270 and 5276 is 13902260.

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 5276?

Answer: Factors of 5276 are 1, 2, 4, 1319, 2638, 5276. There are 6 integers that are factors of 5276. The greatest factor of 5276 is 5276.

4. How to Find the LCM of 5270 and 5276?

Answer:

Least Common Multiple of 5270 and 5276 = 13902260

Step 1: Find the prime factorization of 5270

5270 = 2 x 5 x 17 x 31

Step 2: Find the prime factorization of 5276

5276 = 2 x 2 x 1319

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

LCM = 13902260 = 2 x 2 x 5 x 17 x 31 x 1319

Step 4: Therefore, the least common multiple of 5270 and 5276 is 13902260.