Least Common Multiple of 5172 and 5179

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 5179 the smallest integer that is 26785788 that is divisible by both numbers.

Least Common Multiple (LCM) of 5172 and 5179 is 26785788.

LCM(5172,5179) = 26785788

LCM of 5172 and 5179

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

LCM of:
and

Least Common Multiple of 5172 and 5179

LCM of 5172 and 5179 is 26785788

Least common multiple can be found by multiplying the highest exponent prime factors of 5172 and 5179. First we will calculate the prime factors of 5172 and 5179.

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 5179


5179 5179
1

Prime factors of 5179 are 5179. Prime factorization of 5179 in exponential form is:

5179 = 51791

Now multiplying the highest exponent prime factors to calculate the LCM of 5172 and 5179.

LCM(5172,5179) = 22×31×4311×51791
LCM(5172,5179) = 26785788

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 5179

List of positive integer factors of 5179 that divides 5179 without a remainder.

1, 5179

Least Common Multiple of 5172 and 5179 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 5179, than apply into the LCM equation.

GCF(5172,5179) = 1
LCM(5172,5179) = ( 5172 × 5179) / 1
LCM(5172,5179) = 26785788 / 1
LCM(5172,5179) = 26785788

Properties of LCM 5172 and 5179

(i) The LCM of 5179 and 5172 is associative

LCM of 5172 and 5179 = LCM of 5179 and 5172

Related Least Common Multiples of 5172

Related Least Common Multiples of 5179

Frequently Asked Questions on LCM of 5172 and 5179

1. What is the LCM of 5172 and 5179?

Answer: LCM of 5172 and 5179 is 26785788.

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 5179?

Answer: Factors of 5179 are 1, 5179. There are 2 integers that are factors of 5179. The greatest factor of 5179 is 5179.

4. How to Find the LCM of 5172 and 5179?

Answer:

Least Common Multiple of 5172 and 5179 = 26785788

Step 1: Find the prime factorization of 5172

5172 = 2 x 2 x 3 x 431

Step 2: Find the prime factorization of 5179

5179 = 5179

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

LCM = 26785788 = 2 x 2 x 3 x 431 x 5179

Step 4: Therefore, the least common multiple of 5172 and 5179 is 26785788.