Least Common Multiple of 2161 and 2163

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 2163 the smallest integer that is 4674243 that is divisible by both numbers.

Least Common Multiple (LCM) of 2161 and 2163 is 4674243.

LCM(2161,2163) = 4674243

LCM of 2161 and 2163

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

LCM of:
and

Least Common Multiple of 2161 and 2163

LCM of 2161 and 2163 is 4674243

Least common multiple can be found by multiplying the highest exponent prime factors of 2161 and 2163. First we will calculate the prime factors of 2161 and 2163.

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 2163


3 2163
7 721
103 103
1

Prime factors of 2163 are 3, 7,103. Prime factorization of 2163 in exponential form is:

2163 = 31×71×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2161 and 2163.

LCM(2161,2163) = 31×71×1031×21611
LCM(2161,2163) = 4674243

Factors of 2161

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

1, 2161

Factors of 2163

List of positive integer factors of 2163 that divides 2163 without a remainder.

1, 3, 7, 21, 103, 309, 721, 2163

Least Common Multiple of 2161 and 2163 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 2163, than apply into the LCM equation.

GCF(2161,2163) = 1
LCM(2161,2163) = ( 2161 × 2163) / 1
LCM(2161,2163) = 4674243 / 1
LCM(2161,2163) = 4674243

Properties of LCM 2161 and 2163

(i) The LCM of 2163 and 2161 is associative

LCM of 2161 and 2163 = LCM of 2163 and 2161

Related Least Common Multiples of 2161

Related Least Common Multiples of 2163

Frequently Asked Questions on LCM of 2161 and 2163

1. What is the LCM of 2161 and 2163?

Answer: LCM of 2161 and 2163 is 4674243.

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 2163?

Answer: Factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163. There are 8 integers that are factors of 2163. The greatest factor of 2163 is 2163.

4. How to Find the LCM of 2161 and 2163?

Answer:

Least Common Multiple of 2161 and 2163 = 4674243

Step 1: Find the prime factorization of 2161

2161 = 2161

Step 2: Find the prime factorization of 2163

2163 = 3 x 7 x 103

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

LCM = 4674243 = 3 x 7 x 103 x 2161

Step 4: Therefore, the least common multiple of 2161 and 2163 is 4674243.