Least Common Multiple of 2162 and 2169

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 2169 the smallest integer that is 4689378 that is divisible by both numbers.

Least Common Multiple (LCM) of 2162 and 2169 is 4689378.

LCM(2162,2169) = 4689378

LCM of 2162 and 2169

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

LCM of:
and

Least Common Multiple of 2162 and 2169

LCM of 2162 and 2169 is 4689378

Least common multiple can be found by multiplying the highest exponent prime factors of 2162 and 2169. First we will calculate the prime factors of 2162 and 2169.

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 2169


3 2169
3 723
241 241
1

Prime factors of 2169 are 3,241. Prime factorization of 2169 in exponential form is:

2169 = 32×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 2162 and 2169.

LCM(2162,2169) = 21×32×231×471×2411
LCM(2162,2169) = 4689378

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 2169

List of positive integer factors of 2169 that divides 2169 without a remainder.

1, 3, 9, 241, 723, 2169

Least Common Multiple of 2162 and 2169 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 2169, than apply into the LCM equation.

GCF(2162,2169) = 1
LCM(2162,2169) = ( 2162 × 2169) / 1
LCM(2162,2169) = 4689378 / 1
LCM(2162,2169) = 4689378

Properties of LCM 2162 and 2169

(i) The LCM of 2169 and 2162 is associative

LCM of 2162 and 2169 = LCM of 2169 and 2162

Related Least Common Multiples of 2162

Related Least Common Multiples of 2169

Frequently Asked Questions on LCM of 2162 and 2169

1. What is the LCM of 2162 and 2169?

Answer: LCM of 2162 and 2169 is 4689378.

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 2169?

Answer: Factors of 2169 are 1, 3, 9, 241, 723, 2169. There are 6 integers that are factors of 2169. The greatest factor of 2169 is 2169.

4. How to Find the LCM of 2162 and 2169?

Answer:

Least Common Multiple of 2162 and 2169 = 4689378

Step 1: Find the prime factorization of 2162

2162 = 2 x 23 x 47

Step 2: Find the prime factorization of 2169

2169 = 3 x 3 x 241

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

LCM = 4689378 = 2 x 3 x 3 x 23 x 47 x 241

Step 4: Therefore, the least common multiple of 2162 and 2169 is 4689378.