Least Common Multiple of 4084 and 4089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4084 and 4089 the smallest integer that is 16699476 that is divisible by both numbers.

Least Common Multiple (LCM) of 4084 and 4089 is 16699476.

LCM(4084,4089) = 16699476

LCM of 4084 and 4089

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

LCM of:
and

Least Common Multiple of 4084 and 4089

LCM of 4084 and 4089 is 16699476

Least common multiple can be found by multiplying the highest exponent prime factors of 4084 and 4089. First we will calculate the prime factors of 4084 and 4089.

Prime Factorization of 4084


2 4084
2 2042
1021 1021
1

Prime factors of 4084 are 2,1021. Prime factorization of 4084 in exponential form is:

4084 = 22×10211

Prime Factorization of 4089


3 4089
29 1363
47 47
1

Prime factors of 4089 are 3, 29,47. Prime factorization of 4089 in exponential form is:

4089 = 31×291×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4084 and 4089.

LCM(4084,4089) = 22×31×291×471×10211
LCM(4084,4089) = 16699476

Factors of 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1, 2, 4, 1021, 2042, 4084

Factors of 4089

List of positive integer factors of 4089 that divides 4089 without a remainder.

1, 3, 29, 47, 87, 141, 1363, 4089

Least Common Multiple of 4084 and 4089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4084 and 4089, than apply into the LCM equation.

GCF(4084,4089) = 1
LCM(4084,4089) = ( 4084 × 4089) / 1
LCM(4084,4089) = 16699476 / 1
LCM(4084,4089) = 16699476

Properties of LCM 4084 and 4089

(i) The LCM of 4089 and 4084 is associative

LCM of 4084 and 4089 = LCM of 4089 and 4084

Related Least Common Multiples of 4084

Related Least Common Multiples of 4089

Frequently Asked Questions on LCM of 4084 and 4089

1. What is the LCM of 4084 and 4089?

Answer: LCM of 4084 and 4089 is 16699476.

2. What are the Factors of 4084?

Answer: Factors of 4084 are 1, 2, 4, 1021, 2042, 4084. There are 6 integers that are factors of 4084. The greatest factor of 4084 is 4084.

3. What are the Factors of 4089?

Answer: Factors of 4089 are 1, 3, 29, 47, 87, 141, 1363, 4089. There are 8 integers that are factors of 4089. The greatest factor of 4089 is 4089.

4. How to Find the LCM of 4084 and 4089?

Answer:

Least Common Multiple of 4084 and 4089 = 16699476

Step 1: Find the prime factorization of 4084

4084 = 2 x 2 x 1021

Step 2: Find the prime factorization of 4089

4089 = 3 x 29 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 = 16699476 = 2 x 2 x 3 x 29 x 47 x 1021

Step 4: Therefore, the least common multiple of 4084 and 4089 is 16699476.