Least Common Multiple of 2161 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 2161 and 2162 the smallest integer that is 4672082 that is divisible by both numbers.

Least Common Multiple (LCM) of 2161 and 2162 is 4672082.

LCM(2161,2162) = 4672082

LCM of 2161 and 2162

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

LCM of:
and

Least Common Multiple of 2161 and 2162

LCM of 2161 and 2162 is 4672082

Least common multiple can be found by multiplying the highest exponent prime factors of 2161 and 2162. First we will calculate the prime factors of 2161 and 2162.

Prime Factorization of 2161


2161 2161
1

Prime factors of 2161 are 2161. Prime factorization of 2161 in exponential form is:

2161 = 21611

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 2161 and 2162.

LCM(2161,2162) = 21×231×471×21611
LCM(2161,2162) = 4672082

Factors of 2161

List of positive integer factors of 2161 that divides 2161 without a remainder.

1, 2161

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 2161 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 2161 and 2162, than apply into the LCM equation.

GCF(2161,2162) = 1
LCM(2161,2162) = ( 2161 × 2162) / 1
LCM(2161,2162) = 4672082 / 1
LCM(2161,2162) = 4672082

Properties of LCM 2161 and 2162

(i) The LCM of 2162 and 2161 is associative

LCM of 2161 and 2162 = LCM of 2162 and 2161

Related Least Common Multiples of 2161

Related Least Common Multiples of 2162

Frequently Asked Questions on LCM of 2161 and 2162

1. What is the LCM of 2161 and 2162?

Answer: LCM of 2161 and 2162 is 4672082.

2. What are the Factors of 2161?

Answer: Factors of 2161 are 1, 2161. There are 2 integers that are factors of 2161. The greatest factor of 2161 is 2161.

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 2161 and 2162?

Answer:

Least Common Multiple of 2161 and 2162 = 4672082

Step 1: Find the prime factorization of 2161

2161 = 2161

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 = 4672082 = 2 x 23 x 47 x 2161

Step 4: Therefore, the least common multiple of 2161 and 2162 is 4672082.