Least Common Multiple of 5165 and 5173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5165 and 5173 the smallest integer that is 26718545 that is divisible by both numbers.

Least Common Multiple (LCM) of 5165 and 5173 is 26718545.

LCM(5165,5173) = 26718545

LCM of 5165 and 5173

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

LCM of:
and

Least Common Multiple of 5165 and 5173

LCM of 5165 and 5173 is 26718545

Least common multiple can be found by multiplying the highest exponent prime factors of 5165 and 5173. First we will calculate the prime factors of 5165 and 5173.

Prime Factorization of 5165


5 5165
1033 1033
1

Prime factors of 5165 are 5,1033. Prime factorization of 5165 in exponential form is:

5165 = 51×10331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5165 and 5173.

LCM(5165,5173) = 51×71×7391×10331
LCM(5165,5173) = 26718545

Factors of 5165

List of positive integer factors of 5165 that divides 5165 without a remainder.

1, 5, 1033, 5165

Factors of 5173

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

1, 7, 739, 5173

Least Common Multiple of 5165 and 5173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5165 and 5173, than apply into the LCM equation.

GCF(5165,5173) = 1
LCM(5165,5173) = ( 5165 × 5173) / 1
LCM(5165,5173) = 26718545 / 1
LCM(5165,5173) = 26718545

Properties of LCM 5165 and 5173

(i) The LCM of 5173 and 5165 is associative

LCM of 5165 and 5173 = LCM of 5173 and 5165

Related Least Common Multiples of 5165

Related Least Common Multiples of 5173

Frequently Asked Questions on LCM of 5165 and 5173

1. What is the LCM of 5165 and 5173?

Answer: LCM of 5165 and 5173 is 26718545.

2. What are the Factors of 5165?

Answer: Factors of 5165 are 1, 5, 1033, 5165. There are 4 integers that are factors of 5165. The greatest factor of 5165 is 5165.

3. 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.

4. How to Find the LCM of 5165 and 5173?

Answer:

Least Common Multiple of 5165 and 5173 = 26718545

Step 1: Find the prime factorization of 5165

5165 = 5 x 1033

Step 2: Find the prime factorization of 5173

5173 = 7 x 739

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

LCM = 26718545 = 5 x 7 x 739 x 1033

Step 4: Therefore, the least common multiple of 5165 and 5173 is 26718545.