Least Common Multiple of 2084 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 2084 and 2089 the smallest integer that is 4353476 that is divisible by both numbers.

Least Common Multiple (LCM) of 2084 and 2089 is 4353476.

LCM(2084,2089) = 4353476

LCM of 2084 and 2089

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

LCM of:
and

Least Common Multiple of 2084 and 2089

LCM of 2084 and 2089 is 4353476

Least common multiple can be found by multiplying the highest exponent prime factors of 2084 and 2089. First we will calculate the prime factors of 2084 and 2089.

Prime Factorization of 2084


2 2084
2 1042
521 521
1

Prime factors of 2084 are 2,521. Prime factorization of 2084 in exponential form is:

2084 = 22×5211

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 2084 and 2089.

LCM(2084,2089) = 22×5211×20891
LCM(2084,2089) = 4353476

Factors of 2084

List of positive integer factors of 2084 that divides 2084 without a remainder.

1, 2, 4, 521, 1042, 2084

Factors of 2089

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

1, 2089

Least Common Multiple of 2084 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 2084 and 2089, than apply into the LCM equation.

GCF(2084,2089) = 1
LCM(2084,2089) = ( 2084 × 2089) / 1
LCM(2084,2089) = 4353476 / 1
LCM(2084,2089) = 4353476

Properties of LCM 2084 and 2089

(i) The LCM of 2089 and 2084 is associative

LCM of 2084 and 2089 = LCM of 2089 and 2084

Related Least Common Multiples of 2084

Related Least Common Multiples of 2089

Frequently Asked Questions on LCM of 2084 and 2089

1. What is the LCM of 2084 and 2089?

Answer: LCM of 2084 and 2089 is 4353476.

2. What are the Factors of 2084?

Answer: Factors of 2084 are 1, 2, 4, 521, 1042, 2084. There are 6 integers that are factors of 2084. The greatest factor of 2084 is 2084.

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 2084 and 2089?

Answer:

Least Common Multiple of 2084 and 2089 = 4353476

Step 1: Find the prime factorization of 2084

2084 = 2 x 2 x 521

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 = 4353476 = 2 x 2 x 521 x 2089

Step 4: Therefore, the least common multiple of 2084 and 2089 is 4353476.