Least Common Multiple of 2161 and 2165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2161 and 2165 the smallest integer that is 4678565 that is divisible by both numbers.

Least Common Multiple (LCM) of 2161 and 2165 is 4678565.

LCM(2161,2165) = 4678565

LCM of 2161 and 2165

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

LCM of:
and

Least Common Multiple of 2161 and 2165

LCM of 2161 and 2165 is 4678565

Least common multiple can be found by multiplying the highest exponent prime factors of 2161 and 2165. First we will calculate the prime factors of 2161 and 2165.

Prime Factorization of 2161


2161 2161
1

Prime factors of 2161 are 2161. Prime factorization of 2161 in exponential form is:

2161 = 21611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2161 and 2165.

LCM(2161,2165) = 51×4331×21611
LCM(2161,2165) = 4678565

Factors of 2161

List of positive integer factors of 2161 that divides 2161 without a remainder.

1, 2161

Factors of 2165

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

1, 5, 433, 2165

Least Common Multiple of 2161 and 2165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2161 and 2165, than apply into the LCM equation.

GCF(2161,2165) = 1
LCM(2161,2165) = ( 2161 × 2165) / 1
LCM(2161,2165) = 4678565 / 1
LCM(2161,2165) = 4678565

Properties of LCM 2161 and 2165

(i) The LCM of 2165 and 2161 is associative

LCM of 2161 and 2165 = LCM of 2165 and 2161

Related Least Common Multiples of 2161

Related Least Common Multiples of 2165

Frequently Asked Questions on LCM of 2161 and 2165

1. What is the LCM of 2161 and 2165?

Answer: LCM of 2161 and 2165 is 4678565.

2. What are the Factors of 2161?

Answer: Factors of 2161 are 1, 2161. There are 2 integers that are factors of 2161. The greatest factor of 2161 is 2161.

3. 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.

4. How to Find the LCM of 2161 and 2165?

Answer:

Least Common Multiple of 2161 and 2165 = 4678565

Step 1: Find the prime factorization of 2161

2161 = 2161

Step 2: Find the prime factorization of 2165

2165 = 5 x 433

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

LCM = 4678565 = 5 x 433 x 2161

Step 4: Therefore, the least common multiple of 2161 and 2165 is 4678565.