Least Common Multiple of 2162 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 2162 and 2168 the smallest integer that is 2343608 that is divisible by both numbers.

Least Common Multiple (LCM) of 2162 and 2168 is 2343608.

LCM(2162,2168) = 2343608

LCM of 2162 and 2168

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

LCM of:
and

Least Common Multiple of 2162 and 2168

LCM of 2162 and 2168 is 2343608

Least common multiple can be found by multiplying the highest exponent prime factors of 2162 and 2168. First we will calculate the prime factors of 2162 and 2168.

Prime Factorization of 2162


2 2162
23 1081
47 47
1

Prime factors of 2162 are 2, 23,47. Prime factorization of 2162 in exponential form is:

2162 = 21×231×471

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 2162 and 2168.

LCM(2162,2168) = 23×231×471×2711
LCM(2162,2168) = 2343608

Factors of 2162

List of positive integer factors of 2162 that divides 2162 without a remainder.

1, 2, 23, 46, 47, 94, 1081, 2162

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 2162 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 2162 and 2168, than apply into the LCM equation.

GCF(2162,2168) = 2
LCM(2162,2168) = ( 2162 × 2168) / 2
LCM(2162,2168) = 4687216 / 2
LCM(2162,2168) = 2343608

Properties of LCM 2162 and 2168

(i) The LCM of 2168 and 2162 is associative

LCM of 2162 and 2168 = LCM of 2168 and 2162

Related Least Common Multiples of 2162

Related Least Common Multiples of 2168

Frequently Asked Questions on LCM of 2162 and 2168

1. What is the LCM of 2162 and 2168?

Answer: LCM of 2162 and 2168 is 2343608.

2. What are the Factors of 2162?

Answer: Factors of 2162 are 1, 2, 23, 46, 47, 94, 1081, 2162. There are 8 integers that are factors of 2162. The greatest factor of 2162 is 2162.

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 2162 and 2168?

Answer:

Least Common Multiple of 2162 and 2168 = 2343608

Step 1: Find the prime factorization of 2162

2162 = 2 x 23 x 47

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 = 2343608 = 2 x 2 x 2 x 23 x 47 x 271

Step 4: Therefore, the least common multiple of 2162 and 2168 is 2343608.