Least Common Multiple of 34165 and 34173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34165 and 34173 the smallest integer that is 1167520545 that is divisible by both numbers.

Least Common Multiple (LCM) of 34165 and 34173 is 1167520545.

LCM(34165,34173) = 1167520545

LCM of 34165 and 34173

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

LCM of:
and

Least Common Multiple of 34165 and 34173

LCM of 34165 and 34173 is 1167520545

Least common multiple can be found by multiplying the highest exponent prime factors of 34165 and 34173. First we will calculate the prime factors of 34165 and 34173.

Prime Factorization of 34165


5 34165
6833 6833
1

Prime factors of 34165 are 5,6833. Prime factorization of 34165 in exponential form is:

34165 = 51×68331

Prime Factorization of 34173


3 34173
3 11391
3797 3797
1

Prime factors of 34173 are 3,3797. Prime factorization of 34173 in exponential form is:

34173 = 32×37971

Now multiplying the highest exponent prime factors to calculate the LCM of 34165 and 34173.

LCM(34165,34173) = 32×51×37971×68331
LCM(34165,34173) = 1167520545

Factors of 34165

List of positive integer factors of 34165 that divides 34165 without a remainder.

1, 5, 6833, 34165

Factors of 34173

List of positive integer factors of 34173 that divides 34173 without a remainder.

1, 3, 9, 3797, 11391, 34173

Least Common Multiple of 34165 and 34173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34165 and 34173, than apply into the LCM equation.

GCF(34165,34173) = 1
LCM(34165,34173) = ( 34165 × 34173) / 1
LCM(34165,34173) = 1167520545 / 1
LCM(34165,34173) = 1167520545

Properties of LCM 34165 and 34173

(i) The LCM of 34173 and 34165 is associative

LCM of 34165 and 34173 = LCM of 34173 and 34165

Related Least Common Multiples of 34165

Related Least Common Multiples of 34173

Frequently Asked Questions on LCM of 34165 and 34173

1. What is the LCM of 34165 and 34173?

Answer: LCM of 34165 and 34173 is 1167520545.

2. What are the Factors of 34165?

Answer: Factors of 34165 are 1, 5, 6833, 34165. There are 4 integers that are factors of 34165. The greatest factor of 34165 is 34165.

3. What are the Factors of 34173?

Answer: Factors of 34173 are 1, 3, 9, 3797, 11391, 34173. There are 6 integers that are factors of 34173. The greatest factor of 34173 is 34173.

4. How to Find the LCM of 34165 and 34173?

Answer:

Least Common Multiple of 34165 and 34173 = 1167520545

Step 1: Find the prime factorization of 34165

34165 = 5 x 6833

Step 2: Find the prime factorization of 34173

34173 = 3 x 3 x 3797

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

LCM = 1167520545 = 3 x 3 x 5 x 3797 x 6833

Step 4: Therefore, the least common multiple of 34165 and 34173 is 1167520545.