Least Common Multiple of 2162 and 2164

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 2164 the smallest integer that is 2339284 that is divisible by both numbers.

Least Common Multiple (LCM) of 2162 and 2164 is 2339284.

LCM(2162,2164) = 2339284

LCM of 2162 and 2164

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

LCM of:
and

Least Common Multiple of 2162 and 2164

LCM of 2162 and 2164 is 2339284

Least common multiple can be found by multiplying the highest exponent prime factors of 2162 and 2164. First we will calculate the prime factors of 2162 and 2164.

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 2164


2 2164
2 1082
541 541
1

Prime factors of 2164 are 2,541. Prime factorization of 2164 in exponential form is:

2164 = 22×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 2162 and 2164.

LCM(2162,2164) = 22×231×471×5411
LCM(2162,2164) = 2339284

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 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1, 2, 4, 541, 1082, 2164

Least Common Multiple of 2162 and 2164 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 2164, than apply into the LCM equation.

GCF(2162,2164) = 2
LCM(2162,2164) = ( 2162 × 2164) / 2
LCM(2162,2164) = 4678568 / 2
LCM(2162,2164) = 2339284

Properties of LCM 2162 and 2164

(i) The LCM of 2164 and 2162 is associative

LCM of 2162 and 2164 = LCM of 2164 and 2162

Related Least Common Multiples of 2162

Related Least Common Multiples of 2164

Frequently Asked Questions on LCM of 2162 and 2164

1. What is the LCM of 2162 and 2164?

Answer: LCM of 2162 and 2164 is 2339284.

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 2164?

Answer: Factors of 2164 are 1, 2, 4, 541, 1082, 2164. There are 6 integers that are factors of 2164. The greatest factor of 2164 is 2164.

4. How to Find the LCM of 2162 and 2164?

Answer:

Least Common Multiple of 2162 and 2164 = 2339284

Step 1: Find the prime factorization of 2162

2162 = 2 x 23 x 47

Step 2: Find the prime factorization of 2164

2164 = 2 x 2 x 541

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

LCM = 2339284 = 2 x 2 x 23 x 47 x 541

Step 4: Therefore, the least common multiple of 2162 and 2164 is 2339284.