Least Common Multiple of 5175 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 5175 and 5179 the smallest integer that is 26801325 that is divisible by both numbers.

Least Common Multiple (LCM) of 5175 and 5179 is 26801325.

LCM(5175,5179) = 26801325

LCM of 5175 and 5179

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

LCM of:
and

Least Common Multiple of 5175 and 5179

LCM of 5175 and 5179 is 26801325

Least common multiple can be found by multiplying the highest exponent prime factors of 5175 and 5179. First we will calculate the prime factors of 5175 and 5179.

Prime Factorization of 5175


3 5175
3 1725
5 575
5 115
23 23
1

Prime factors of 5175 are 3, 5,23. Prime factorization of 5175 in exponential form is:

5175 = 32×52×231

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 5175 and 5179.

LCM(5175,5179) = 32×52×231×51791
LCM(5175,5179) = 26801325

Factors of 5175

List of positive integer factors of 5175 that divides 5175 without a remainder.

1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175

Factors of 5179

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

1, 5179

Least Common Multiple of 5175 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 5175 and 5179, than apply into the LCM equation.

GCF(5175,5179) = 1
LCM(5175,5179) = ( 5175 × 5179) / 1
LCM(5175,5179) = 26801325 / 1
LCM(5175,5179) = 26801325

Properties of LCM 5175 and 5179

(i) The LCM of 5179 and 5175 is associative

LCM of 5175 and 5179 = LCM of 5179 and 5175

Related Least Common Multiples of 5175

Related Least Common Multiples of 5179

Frequently Asked Questions on LCM of 5175 and 5179

1. What is the LCM of 5175 and 5179?

Answer: LCM of 5175 and 5179 is 26801325.

2. What are the Factors of 5175?

Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.

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 5175 and 5179?

Answer:

Least Common Multiple of 5175 and 5179 = 26801325

Step 1: Find the prime factorization of 5175

5175 = 3 x 3 x 5 x 5 x 23

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 = 26801325 = 3 x 3 x 5 x 5 x 23 x 5179

Step 4: Therefore, the least common multiple of 5175 and 5179 is 26801325.