Least Common Multiple of 5270 and 5275

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 5275 the smallest integer that is 5559850 that is divisible by both numbers.

Least Common Multiple (LCM) of 5270 and 5275 is 5559850.

LCM(5270,5275) = 5559850

LCM of 5270 and 5275

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

LCM of:
and

Least Common Multiple of 5270 and 5275

LCM of 5270 and 5275 is 5559850

Least common multiple can be found by multiplying the highest exponent prime factors of 5270 and 5275. First we will calculate the prime factors of 5270 and 5275.

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 5275


5 5275
5 1055
211 211
1

Prime factors of 5275 are 5,211. Prime factorization of 5275 in exponential form is:

5275 = 52×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5270 and 5275.

LCM(5270,5275) = 21×52×171×311×2111
LCM(5270,5275) = 5559850

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 5275

List of positive integer factors of 5275 that divides 5275 without a remainder.

1, 5, 25, 211, 1055, 5275

Least Common Multiple of 5270 and 5275 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 5275, than apply into the LCM equation.

GCF(5270,5275) = 5
LCM(5270,5275) = ( 5270 × 5275) / 5
LCM(5270,5275) = 27799250 / 5
LCM(5270,5275) = 5559850

Properties of LCM 5270 and 5275

(i) The LCM of 5275 and 5270 is associative

LCM of 5270 and 5275 = LCM of 5275 and 5270

Frequently Asked Questions on LCM of 5270 and 5275

1. What is the LCM of 5270 and 5275?

Answer: LCM of 5270 and 5275 is 5559850.

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 5275?

Answer: Factors of 5275 are 1, 5, 25, 211, 1055, 5275. There are 6 integers that are factors of 5275. The greatest factor of 5275 is 5275.

4. How to Find the LCM of 5270 and 5275?

Answer:

Least Common Multiple of 5270 and 5275 = 5559850

Step 1: Find the prime factorization of 5270

5270 = 2 x 5 x 17 x 31

Step 2: Find the prime factorization of 5275

5275 = 5 x 5 x 211

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

LCM = 5559850 = 2 x 5 x 5 x 17 x 31 x 211

Step 4: Therefore, the least common multiple of 5270 and 5275 is 5559850.