Least Common Multiple of 5173 and 5181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5173 and 5181 the smallest integer that is 26801313 that is divisible by both numbers.

Least Common Multiple (LCM) of 5173 and 5181 is 26801313.

LCM(5173,5181) = 26801313

LCM of 5173 and 5181

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

LCM of:
and

Least Common Multiple of 5173 and 5181

LCM of 5173 and 5181 is 26801313

Least common multiple can be found by multiplying the highest exponent prime factors of 5173 and 5181. First we will calculate the prime factors of 5173 and 5181.

Prime Factorization of 5173


7 5173
739 739
1

Prime factors of 5173 are 7,739. Prime factorization of 5173 in exponential form is:

5173 = 71×7391

Prime Factorization of 5181


3 5181
11 1727
157 157
1

Prime factors of 5181 are 3, 11,157. Prime factorization of 5181 in exponential form is:

5181 = 31×111×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5173 and 5181.

LCM(5173,5181) = 31×71×111×1571×7391
LCM(5173,5181) = 26801313

Factors of 5173

List of positive integer factors of 5173 that divides 5173 without a remainder.

1, 7, 739, 5173

Factors of 5181

List of positive integer factors of 5181 that divides 5181 without a remainder.

1, 3, 11, 33, 157, 471, 1727, 5181

Least Common Multiple of 5173 and 5181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5173 and 5181, than apply into the LCM equation.

GCF(5173,5181) = 1
LCM(5173,5181) = ( 5173 × 5181) / 1
LCM(5173,5181) = 26801313 / 1
LCM(5173,5181) = 26801313

Properties of LCM 5173 and 5181

(i) The LCM of 5181 and 5173 is associative

LCM of 5173 and 5181 = LCM of 5181 and 5173

Related Least Common Multiples of 5173

Related Least Common Multiples of 5181

Frequently Asked Questions on LCM of 5173 and 5181

1. What is the LCM of 5173 and 5181?

Answer: LCM of 5173 and 5181 is 26801313.

2. What are the Factors of 5173?

Answer: Factors of 5173 are 1, 7, 739, 5173. There are 4 integers that are factors of 5173. The greatest factor of 5173 is 5173.

3. What are the Factors of 5181?

Answer: Factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181. There are 8 integers that are factors of 5181. The greatest factor of 5181 is 5181.

4. How to Find the LCM of 5173 and 5181?

Answer:

Least Common Multiple of 5173 and 5181 = 26801313

Step 1: Find the prime factorization of 5173

5173 = 7 x 739

Step 2: Find the prime factorization of 5181

5181 = 3 x 11 x 157

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

LCM = 26801313 = 3 x 7 x 11 x 157 x 739

Step 4: Therefore, the least common multiple of 5173 and 5181 is 26801313.