Least Common Multiple of 10165 and 10173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10165 and 10173 the smallest integer that is 103408545 that is divisible by both numbers.

Least Common Multiple (LCM) of 10165 and 10173 is 103408545.

LCM(10165,10173) = 103408545

LCM of 10165 and 10173

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

LCM of:
and

Least Common Multiple of 10165 and 10173

LCM of 10165 and 10173 is 103408545

Least common multiple can be found by multiplying the highest exponent prime factors of 10165 and 10173. First we will calculate the prime factors of 10165 and 10173.

Prime Factorization of 10165


5 10165
19 2033
107 107
1

Prime factors of 10165 are 5, 19,107. Prime factorization of 10165 in exponential form is:

10165 = 51×191×1071

Prime Factorization of 10173


3 10173
3391 3391
1

Prime factors of 10173 are 3,3391. Prime factorization of 10173 in exponential form is:

10173 = 31×33911

Now multiplying the highest exponent prime factors to calculate the LCM of 10165 and 10173.

LCM(10165,10173) = 31×51×191×1071×33911
LCM(10165,10173) = 103408545

Factors of 10165

List of positive integer factors of 10165 that divides 10165 without a remainder.

1, 5, 19, 95, 107, 535, 2033, 10165

Factors of 10173

List of positive integer factors of 10173 that divides 10173 without a remainder.

1, 3, 3391, 10173

Least Common Multiple of 10165 and 10173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10165 and 10173, than apply into the LCM equation.

GCF(10165,10173) = 1
LCM(10165,10173) = ( 10165 × 10173) / 1
LCM(10165,10173) = 103408545 / 1
LCM(10165,10173) = 103408545

Properties of LCM 10165 and 10173

(i) The LCM of 10173 and 10165 is associative

LCM of 10165 and 10173 = LCM of 10173 and 10165

Related Least Common Multiples of 10165

Related Least Common Multiples of 10173

Frequently Asked Questions on LCM of 10165 and 10173

1. What is the LCM of 10165 and 10173?

Answer: LCM of 10165 and 10173 is 103408545.

2. What are the Factors of 10165?

Answer: Factors of 10165 are 1, 5, 19, 95, 107, 535, 2033, 10165. There are 8 integers that are factors of 10165. The greatest factor of 10165 is 10165.

3. What are the Factors of 10173?

Answer: Factors of 10173 are 1, 3, 3391, 10173. There are 4 integers that are factors of 10173. The greatest factor of 10173 is 10173.

4. How to Find the LCM of 10165 and 10173?

Answer:

Least Common Multiple of 10165 and 10173 = 103408545

Step 1: Find the prime factorization of 10165

10165 = 5 x 19 x 107

Step 2: Find the prime factorization of 10173

10173 = 3 x 3391

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

LCM = 103408545 = 3 x 5 x 19 x 107 x 3391

Step 4: Therefore, the least common multiple of 10165 and 10173 is 103408545.