Least Common Multiple of 4081 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 4081 and 4086 the smallest integer that is 16674966 that is divisible by both numbers.

Least Common Multiple (LCM) of 4081 and 4086 is 16674966.

LCM(4081,4086) = 16674966

LCM of 4081 and 4086

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

LCM of:
and

Least Common Multiple of 4081 and 4086

LCM of 4081 and 4086 is 16674966

Least common multiple can be found by multiplying the highest exponent prime factors of 4081 and 4086. First we will calculate the prime factors of 4081 and 4086.

Prime Factorization of 4081


7 4081
11 583
53 53
1

Prime factors of 4081 are 7, 11,53. Prime factorization of 4081 in exponential form is:

4081 = 71×111×531

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 4081 and 4086.

LCM(4081,4086) = 21×32×71×111×531×2271
LCM(4081,4086) = 16674966

Factors of 4081

List of positive integer factors of 4081 that divides 4081 without a remainder.

1, 7, 11, 53, 77, 371, 583, 4081

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 4081 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 4081 and 4086, than apply into the LCM equation.

GCF(4081,4086) = 1
LCM(4081,4086) = ( 4081 × 4086) / 1
LCM(4081,4086) = 16674966 / 1
LCM(4081,4086) = 16674966

Properties of LCM 4081 and 4086

(i) The LCM of 4086 and 4081 is associative

LCM of 4081 and 4086 = LCM of 4086 and 4081

Related Least Common Multiples of 4081

Related Least Common Multiples of 4086

Frequently Asked Questions on LCM of 4081 and 4086

1. What is the LCM of 4081 and 4086?

Answer: LCM of 4081 and 4086 is 16674966.

2. What are the Factors of 4081?

Answer: Factors of 4081 are 1, 7, 11, 53, 77, 371, 583, 4081. There are 8 integers that are factors of 4081. The greatest factor of 4081 is 4081.

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 4081 and 4086?

Answer:

Least Common Multiple of 4081 and 4086 = 16674966

Step 1: Find the prime factorization of 4081

4081 = 7 x 11 x 53

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 = 16674966 = 2 x 3 x 3 x 7 x 11 x 53 x 227

Step 4: Therefore, the least common multiple of 4081 and 4086 is 16674966.