Least Common Multiple of 4082 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 4082 and 4089 the smallest integer that is 16691298 that is divisible by both numbers.

Least Common Multiple (LCM) of 4082 and 4089 is 16691298.

LCM(4082,4089) = 16691298

LCM of 4082 and 4089

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

LCM of:
and

Least Common Multiple of 4082 and 4089

LCM of 4082 and 4089 is 16691298

Least common multiple can be found by multiplying the highest exponent prime factors of 4082 and 4089. First we will calculate the prime factors of 4082 and 4089.

Prime Factorization of 4082


2 4082
13 2041
157 157
1

Prime factors of 4082 are 2, 13,157. Prime factorization of 4082 in exponential form is:

4082 = 21×131×1571

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 4082 and 4089.

LCM(4082,4089) = 21×31×131×291×471×1571
LCM(4082,4089) = 16691298

Factors of 4082

List of positive integer factors of 4082 that divides 4082 without a remainder.

1, 2, 13, 26, 157, 314, 2041, 4082

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 4082 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 4082 and 4089, than apply into the LCM equation.

GCF(4082,4089) = 1
LCM(4082,4089) = ( 4082 × 4089) / 1
LCM(4082,4089) = 16691298 / 1
LCM(4082,4089) = 16691298

Properties of LCM 4082 and 4089

(i) The LCM of 4089 and 4082 is associative

LCM of 4082 and 4089 = LCM of 4089 and 4082

Related Least Common Multiples of 4082

Related Least Common Multiples of 4089

Frequently Asked Questions on LCM of 4082 and 4089

1. What is the LCM of 4082 and 4089?

Answer: LCM of 4082 and 4089 is 16691298.

2. What are the Factors of 4082?

Answer: Factors of 4082 are 1, 2, 13, 26, 157, 314, 2041, 4082. There are 8 integers that are factors of 4082. The greatest factor of 4082 is 4082.

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 4082 and 4089?

Answer:

Least Common Multiple of 4082 and 4089 = 16691298

Step 1: Find the prime factorization of 4082

4082 = 2 x 13 x 157

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 = 16691298 = 2 x 3 x 13 x 29 x 47 x 157

Step 4: Therefore, the least common multiple of 4082 and 4089 is 16691298.