Least Common Multiple of 2162 and 2166

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 2166 the smallest integer that is 2341446 that is divisible by both numbers.

Least Common Multiple (LCM) of 2162 and 2166 is 2341446.

LCM(2162,2166) = 2341446

LCM of 2162 and 2166

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

LCM of:
and

Least Common Multiple of 2162 and 2166

LCM of 2162 and 2166 is 2341446

Least common multiple can be found by multiplying the highest exponent prime factors of 2162 and 2166. First we will calculate the prime factors of 2162 and 2166.

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 2166


2 2166
3 1083
19 361
19 19
1

Prime factors of 2166 are 2, 3,19. Prime factorization of 2166 in exponential form is:

2166 = 21×31×192

Now multiplying the highest exponent prime factors to calculate the LCM of 2162 and 2166.

LCM(2162,2166) = 21×31×192×231×471
LCM(2162,2166) = 2341446

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 2166

List of positive integer factors of 2166 that divides 2166 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166

Least Common Multiple of 2162 and 2166 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 2166, than apply into the LCM equation.

GCF(2162,2166) = 2
LCM(2162,2166) = ( 2162 × 2166) / 2
LCM(2162,2166) = 4682892 / 2
LCM(2162,2166) = 2341446

Properties of LCM 2162 and 2166

(i) The LCM of 2166 and 2162 is associative

LCM of 2162 and 2166 = LCM of 2166 and 2162

Related Least Common Multiples of 2162

Related Least Common Multiples of 2166

Frequently Asked Questions on LCM of 2162 and 2166

1. What is the LCM of 2162 and 2166?

Answer: LCM of 2162 and 2166 is 2341446.

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 2166?

Answer: Factors of 2166 are 1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083, 2166. There are 12 integers that are factors of 2166. The greatest factor of 2166 is 2166.

4. How to Find the LCM of 2162 and 2166?

Answer:

Least Common Multiple of 2162 and 2166 = 2341446

Step 1: Find the prime factorization of 2162

2162 = 2 x 23 x 47

Step 2: Find the prime factorization of 2166

2166 = 2 x 3 x 19 x 19

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

LCM = 2341446 = 2 x 3 x 19 x 19 x 23 x 47

Step 4: Therefore, the least common multiple of 2162 and 2166 is 2341446.