Least Common Multiple of 5270 and 5274

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 5274 the smallest integer that is 13896990 that is divisible by both numbers.

Least Common Multiple (LCM) of 5270 and 5274 is 13896990.

LCM(5270,5274) = 13896990

LCM of 5270 and 5274

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

LCM of:
and

Least Common Multiple of 5270 and 5274

LCM of 5270 and 5274 is 13896990

Least common multiple can be found by multiplying the highest exponent prime factors of 5270 and 5274. First we will calculate the prime factors of 5270 and 5274.

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 5274


2 5274
3 2637
3 879
293 293
1

Prime factors of 5274 are 2, 3,293. Prime factorization of 5274 in exponential form is:

5274 = 21×32×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 5270 and 5274.

LCM(5270,5274) = 21×32×51×171×311×2931
LCM(5270,5274) = 13896990

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 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274

Least Common Multiple of 5270 and 5274 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 5274, than apply into the LCM equation.

GCF(5270,5274) = 2
LCM(5270,5274) = ( 5270 × 5274) / 2
LCM(5270,5274) = 27793980 / 2
LCM(5270,5274) = 13896990

Properties of LCM 5270 and 5274

(i) The LCM of 5274 and 5270 is associative

LCM of 5270 and 5274 = LCM of 5274 and 5270

Related Least Common Multiples of 5270

Related Least Common Multiples of 5274

Frequently Asked Questions on LCM of 5270 and 5274

1. What is the LCM of 5270 and 5274?

Answer: LCM of 5270 and 5274 is 13896990.

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 5274?

Answer: Factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274. There are 12 integers that are factors of 5274. The greatest factor of 5274 is 5274.

4. How to Find the LCM of 5270 and 5274?

Answer:

Least Common Multiple of 5270 and 5274 = 13896990

Step 1: Find the prime factorization of 5270

5270 = 2 x 5 x 17 x 31

Step 2: Find the prime factorization of 5274

5274 = 2 x 3 x 3 x 293

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

LCM = 13896990 = 2 x 3 x 3 x 5 x 17 x 31 x 293

Step 4: Therefore, the least common multiple of 5270 and 5274 is 13896990.