Least Common Multiple of 2165 and 2169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2165 and 2169 the smallest integer that is 4695885 that is divisible by both numbers.

Least Common Multiple (LCM) of 2165 and 2169 is 4695885.

LCM(2165,2169) = 4695885

LCM of 2165 and 2169

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

LCM of:
and

Least Common Multiple of 2165 and 2169

LCM of 2165 and 2169 is 4695885

Least common multiple can be found by multiplying the highest exponent prime factors of 2165 and 2169. First we will calculate the prime factors of 2165 and 2169.

Prime Factorization of 2165


5 2165
433 433
1

Prime factors of 2165 are 5,433. Prime factorization of 2165 in exponential form is:

2165 = 51×4331

Prime Factorization of 2169


3 2169
3 723
241 241
1

Prime factors of 2169 are 3,241. Prime factorization of 2169 in exponential form is:

2169 = 32×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 2165 and 2169.

LCM(2165,2169) = 32×51×2411×4331
LCM(2165,2169) = 4695885

Factors of 2165

List of positive integer factors of 2165 that divides 2165 without a remainder.

1, 5, 433, 2165

Factors of 2169

List of positive integer factors of 2169 that divides 2169 without a remainder.

1, 3, 9, 241, 723, 2169

Least Common Multiple of 2165 and 2169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2165 and 2169, than apply into the LCM equation.

GCF(2165,2169) = 1
LCM(2165,2169) = ( 2165 × 2169) / 1
LCM(2165,2169) = 4695885 / 1
LCM(2165,2169) = 4695885

Properties of LCM 2165 and 2169

(i) The LCM of 2169 and 2165 is associative

LCM of 2165 and 2169 = LCM of 2169 and 2165

Related Least Common Multiples of 2165

Related Least Common Multiples of 2169

Frequently Asked Questions on LCM of 2165 and 2169

1. What is the LCM of 2165 and 2169?

Answer: LCM of 2165 and 2169 is 4695885.

2. What are the Factors of 2165?

Answer: Factors of 2165 are 1, 5, 433, 2165. There are 4 integers that are factors of 2165. The greatest factor of 2165 is 2165.

3. What are the Factors of 2169?

Answer: Factors of 2169 are 1, 3, 9, 241, 723, 2169. There are 6 integers that are factors of 2169. The greatest factor of 2169 is 2169.

4. How to Find the LCM of 2165 and 2169?

Answer:

Least Common Multiple of 2165 and 2169 = 4695885

Step 1: Find the prime factorization of 2165

2165 = 5 x 433

Step 2: Find the prime factorization of 2169

2169 = 3 x 3 x 241

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

LCM = 4695885 = 3 x 3 x 5 x 241 x 433

Step 4: Therefore, the least common multiple of 2165 and 2169 is 4695885.