Least Common Multiple of 2082 and 2089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2082 and 2089 the smallest integer that is 4349298 that is divisible by both numbers.

Least Common Multiple (LCM) of 2082 and 2089 is 4349298.

LCM(2082,2089) = 4349298

LCM of 2082 and 2089

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

LCM of:
and

Least Common Multiple of 2082 and 2089

LCM of 2082 and 2089 is 4349298

Least common multiple can be found by multiplying the highest exponent prime factors of 2082 and 2089. First we will calculate the prime factors of 2082 and 2089.

Prime Factorization of 2082


2 2082
3 1041
347 347
1

Prime factors of 2082 are 2, 3,347. Prime factorization of 2082 in exponential form is:

2082 = 21×31×3471

Prime Factorization of 2089


2089 2089
1

Prime factors of 2089 are 2089. Prime factorization of 2089 in exponential form is:

2089 = 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 2082 and 2089.

LCM(2082,2089) = 21×31×3471×20891
LCM(2082,2089) = 4349298

Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1, 2, 3, 6, 347, 694, 1041, 2082

Factors of 2089

List of positive integer factors of 2089 that divides 2089 without a remainder.

1, 2089

Least Common Multiple of 2082 and 2089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2082 and 2089, than apply into the LCM equation.

GCF(2082,2089) = 1
LCM(2082,2089) = ( 2082 × 2089) / 1
LCM(2082,2089) = 4349298 / 1
LCM(2082,2089) = 4349298

Properties of LCM 2082 and 2089

(i) The LCM of 2089 and 2082 is associative

LCM of 2082 and 2089 = LCM of 2089 and 2082

Related Least Common Multiples of 2082

Related Least Common Multiples of 2089

Frequently Asked Questions on LCM of 2082 and 2089

1. What is the LCM of 2082 and 2089?

Answer: LCM of 2082 and 2089 is 4349298.

2. What are the Factors of 2082?

Answer: Factors of 2082 are 1, 2, 3, 6, 347, 694, 1041, 2082. There are 8 integers that are factors of 2082. The greatest factor of 2082 is 2082.

3. What are the Factors of 2089?

Answer: Factors of 2089 are 1, 2089. There are 2 integers that are factors of 2089. The greatest factor of 2089 is 2089.

4. How to Find the LCM of 2082 and 2089?

Answer:

Least Common Multiple of 2082 and 2089 = 4349298

Step 1: Find the prime factorization of 2082

2082 = 2 x 3 x 347

Step 2: Find the prime factorization of 2089

2089 = 2089

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

LCM = 4349298 = 2 x 3 x 347 x 2089

Step 4: Therefore, the least common multiple of 2082 and 2089 is 4349298.