Least Common Multiple of 4165 and 4173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4165 and 4173 the smallest integer that is 17380545 that is divisible by both numbers.

Least Common Multiple (LCM) of 4165 and 4173 is 17380545.

LCM(4165,4173) = 17380545

LCM of 4165 and 4173

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

LCM of:
and

Least Common Multiple of 4165 and 4173

LCM of 4165 and 4173 is 17380545

Least common multiple can be found by multiplying the highest exponent prime factors of 4165 and 4173. First we will calculate the prime factors of 4165 and 4173.

Prime Factorization of 4165


5 4165
7 833
7 119
17 17
1

Prime factors of 4165 are 5, 7,17. Prime factorization of 4165 in exponential form is:

4165 = 51×72×171

Prime Factorization of 4173


3 4173
13 1391
107 107
1

Prime factors of 4173 are 3, 13,107. Prime factorization of 4173 in exponential form is:

4173 = 31×131×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 4165 and 4173.

LCM(4165,4173) = 31×51×72×131×171×1071
LCM(4165,4173) = 17380545

Factors of 4165

List of positive integer factors of 4165 that divides 4165 without a remainder.

1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165

Factors of 4173

List of positive integer factors of 4173 that divides 4173 without a remainder.

1, 3, 13, 39, 107, 321, 1391, 4173

Least Common Multiple of 4165 and 4173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4165 and 4173, than apply into the LCM equation.

GCF(4165,4173) = 1
LCM(4165,4173) = ( 4165 × 4173) / 1
LCM(4165,4173) = 17380545 / 1
LCM(4165,4173) = 17380545

Properties of LCM 4165 and 4173

(i) The LCM of 4173 and 4165 is associative

LCM of 4165 and 4173 = LCM of 4173 and 4165

Related Least Common Multiples of 4165

Related Least Common Multiples of 4173

Frequently Asked Questions on LCM of 4165 and 4173

1. What is the LCM of 4165 and 4173?

Answer: LCM of 4165 and 4173 is 17380545.

2. What are the Factors of 4165?

Answer: Factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165. There are 12 integers that are factors of 4165. The greatest factor of 4165 is 4165.

3. What are the Factors of 4173?

Answer: Factors of 4173 are 1, 3, 13, 39, 107, 321, 1391, 4173. There are 8 integers that are factors of 4173. The greatest factor of 4173 is 4173.

4. How to Find the LCM of 4165 and 4173?

Answer:

Least Common Multiple of 4165 and 4173 = 17380545

Step 1: Find the prime factorization of 4165

4165 = 5 x 7 x 7 x 17

Step 2: Find the prime factorization of 4173

4173 = 3 x 13 x 107

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

LCM = 17380545 = 3 x 5 x 7 x 7 x 13 x 17 x 107

Step 4: Therefore, the least common multiple of 4165 and 4173 is 17380545.