Least Common Multiple of 2163 and 2168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2163 and 2168 the smallest integer that is 4689384 that is divisible by both numbers.

Least Common Multiple (LCM) of 2163 and 2168 is 4689384.

LCM(2163,2168) = 4689384

LCM of 2163 and 2168

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

LCM of:
and

Least Common Multiple of 2163 and 2168

LCM of 2163 and 2168 is 4689384

Least common multiple can be found by multiplying the highest exponent prime factors of 2163 and 2168. First we will calculate the prime factors of 2163 and 2168.

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

Prime Factorization of 2168


2 2168
2 1084
2 542
271 271
1

Prime factors of 2168 are 2,271. Prime factorization of 2168 in exponential form is:

2168 = 23×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2163 and 2168.

LCM(2163,2168) = 23×31×71×1031×2711
LCM(2163,2168) = 4689384

Factors of 2163

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

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

Factors of 2168

List of positive integer factors of 2168 that divides 2168 without a remainder.

1, 2, 4, 8, 271, 542, 1084, 2168

Least Common Multiple of 2163 and 2168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2163 and 2168, than apply into the LCM equation.

GCF(2163,2168) = 1
LCM(2163,2168) = ( 2163 × 2168) / 1
LCM(2163,2168) = 4689384 / 1
LCM(2163,2168) = 4689384

Properties of LCM 2163 and 2168

(i) The LCM of 2168 and 2163 is associative

LCM of 2163 and 2168 = LCM of 2168 and 2163

Related Least Common Multiples of 2163

Related Least Common Multiples of 2168

Frequently Asked Questions on LCM of 2163 and 2168

1. What is the LCM of 2163 and 2168?

Answer: LCM of 2163 and 2168 is 4689384.

2. 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.

3. What are the Factors of 2168?

Answer: Factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168. There are 8 integers that are factors of 2168. The greatest factor of 2168 is 2168.

4. How to Find the LCM of 2163 and 2168?

Answer:

Least Common Multiple of 2163 and 2168 = 4689384

Step 1: Find the prime factorization of 2163

2163 = 3 x 7 x 103

Step 2: Find the prime factorization of 2168

2168 = 2 x 2 x 2 x 271

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

LCM = 4689384 = 2 x 2 x 2 x 3 x 7 x 103 x 271

Step 4: Therefore, the least common multiple of 2163 and 2168 is 4689384.