Least Common Multiple of 2155 and 2162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2155 and 2162 the smallest integer that is 4659110 that is divisible by both numbers.

Least Common Multiple (LCM) of 2155 and 2162 is 4659110.

LCM(2155,2162) = 4659110

LCM of 2155 and 2162

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

LCM of:
and

Least Common Multiple of 2155 and 2162

LCM of 2155 and 2162 is 4659110

Least common multiple can be found by multiplying the highest exponent prime factors of 2155 and 2162. First we will calculate the prime factors of 2155 and 2162.

Prime Factorization of 2155


5 2155
431 431
1

Prime factors of 2155 are 5,431. Prime factorization of 2155 in exponential form is:

2155 = 51×4311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2155 and 2162.

LCM(2155,2162) = 21×51×231×471×4311
LCM(2155,2162) = 4659110

Factors of 2155

List of positive integer factors of 2155 that divides 2155 without a remainder.

1, 5, 431, 2155

Factors of 2162

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

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

Least Common Multiple of 2155 and 2162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2155 and 2162, than apply into the LCM equation.

GCF(2155,2162) = 1
LCM(2155,2162) = ( 2155 × 2162) / 1
LCM(2155,2162) = 4659110 / 1
LCM(2155,2162) = 4659110

Properties of LCM 2155 and 2162

(i) The LCM of 2162 and 2155 is associative

LCM of 2155 and 2162 = LCM of 2162 and 2155

Related Least Common Multiples of 2155

Related Least Common Multiples of 2162

Frequently Asked Questions on LCM of 2155 and 2162

1. What is the LCM of 2155 and 2162?

Answer: LCM of 2155 and 2162 is 4659110.

2. What are the Factors of 2155?

Answer: Factors of 2155 are 1, 5, 431, 2155. There are 4 integers that are factors of 2155. The greatest factor of 2155 is 2155.

3. 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.

4. How to Find the LCM of 2155 and 2162?

Answer:

Least Common Multiple of 2155 and 2162 = 4659110

Step 1: Find the prime factorization of 2155

2155 = 5 x 431

Step 2: Find the prime factorization of 2162

2162 = 2 x 23 x 47

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

LCM = 4659110 = 2 x 5 x 23 x 47 x 431

Step 4: Therefore, the least common multiple of 2155 and 2162 is 4659110.