Least Common Multiple of 4082 and 4086

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 4086 the smallest integer that is 8339526 that is divisible by both numbers.

Least Common Multiple (LCM) of 4082 and 4086 is 8339526.

LCM(4082,4086) = 8339526

LCM of 4082 and 4086

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

LCM of:
and

Least Common Multiple of 4082 and 4086

LCM of 4082 and 4086 is 8339526

Least common multiple can be found by multiplying the highest exponent prime factors of 4082 and 4086. First we will calculate the prime factors of 4082 and 4086.

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 4086


2 4086
3 2043
3 681
227 227
1

Prime factors of 4086 are 2, 3,227. Prime factorization of 4086 in exponential form is:

4086 = 21×32×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 4082 and 4086.

LCM(4082,4086) = 21×32×131×1571×2271
LCM(4082,4086) = 8339526

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 4086

List of positive integer factors of 4086 that divides 4086 without a remainder.

1, 2, 3, 6, 9, 18, 227, 454, 681, 1362, 2043, 4086

Least Common Multiple of 4082 and 4086 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 4086, than apply into the LCM equation.

GCF(4082,4086) = 2
LCM(4082,4086) = ( 4082 × 4086) / 2
LCM(4082,4086) = 16679052 / 2
LCM(4082,4086) = 8339526

Properties of LCM 4082 and 4086

(i) The LCM of 4086 and 4082 is associative

LCM of 4082 and 4086 = LCM of 4086 and 4082

Related Least Common Multiples of 4082

Related Least Common Multiples of 4086

Frequently Asked Questions on LCM of 4082 and 4086

1. What is the LCM of 4082 and 4086?

Answer: LCM of 4082 and 4086 is 8339526.

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 4086?

Answer: Factors of 4086 are 1, 2, 3, 6, 9, 18, 227, 454, 681, 1362, 2043, 4086. There are 12 integers that are factors of 4086. The greatest factor of 4086 is 4086.

4. How to Find the LCM of 4082 and 4086?

Answer:

Least Common Multiple of 4082 and 4086 = 8339526

Step 1: Find the prime factorization of 4082

4082 = 2 x 13 x 157

Step 2: Find the prime factorization of 4086

4086 = 2 x 3 x 3 x 227

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

LCM = 8339526 = 2 x 3 x 3 x 13 x 157 x 227

Step 4: Therefore, the least common multiple of 4082 and 4086 is 8339526.