Least Common Multiple of 5172 and 5180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5172 and 5180 the smallest integer that is 6697740 that is divisible by both numbers.

Least Common Multiple (LCM) of 5172 and 5180 is 6697740.

LCM(5172,5180) = 6697740

LCM of 5172 and 5180

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

LCM of:
and

Least Common Multiple of 5172 and 5180

LCM of 5172 and 5180 is 6697740

Least common multiple can be found by multiplying the highest exponent prime factors of 5172 and 5180. First we will calculate the prime factors of 5172 and 5180.

Prime Factorization of 5172


2 5172
2 2586
3 1293
431 431
1

Prime factors of 5172 are 2, 3,431. Prime factorization of 5172 in exponential form is:

5172 = 22×31×4311

Prime Factorization of 5180


2 5180
2 2590
5 1295
7 259
37 37
1

Prime factors of 5180 are 2, 5, 7,37. Prime factorization of 5180 in exponential form is:

5180 = 22×51×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5172 and 5180.

LCM(5172,5180) = 22×31×51×71×371×4311
LCM(5172,5180) = 6697740

Factors of 5172

List of positive integer factors of 5172 that divides 5172 without a remainder.

1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172

Factors of 5180

List of positive integer factors of 5180 that divides 5180 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180

Least Common Multiple of 5172 and 5180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5172 and 5180, than apply into the LCM equation.

GCF(5172,5180) = 4
LCM(5172,5180) = ( 5172 × 5180) / 4
LCM(5172,5180) = 26790960 / 4
LCM(5172,5180) = 6697740

Properties of LCM 5172 and 5180

(i) The LCM of 5180 and 5172 is associative

LCM of 5172 and 5180 = LCM of 5180 and 5172

Related Least Common Multiples of 5172

Related Least Common Multiples of 5180

Frequently Asked Questions on LCM of 5172 and 5180

1. What is the LCM of 5172 and 5180?

Answer: LCM of 5172 and 5180 is 6697740.

2. What are the Factors of 5172?

Answer: Factors of 5172 are 1, 2, 3, 4, 6, 12, 431, 862, 1293, 1724, 2586, 5172. There are 12 integers that are factors of 5172. The greatest factor of 5172 is 5172.

3. What are the Factors of 5180?

Answer: Factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180. There are 24 integers that are factors of 5180. The greatest factor of 5180 is 5180.

4. How to Find the LCM of 5172 and 5180?

Answer:

Least Common Multiple of 5172 and 5180 = 6697740

Step 1: Find the prime factorization of 5172

5172 = 2 x 2 x 3 x 431

Step 2: Find the prime factorization of 5180

5180 = 2 x 2 x 5 x 7 x 37

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

LCM = 6697740 = 2 x 2 x 3 x 5 x 7 x 37 x 431

Step 4: Therefore, the least common multiple of 5172 and 5180 is 6697740.