Least Common Multiple of 4067 and 4071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4067 and 4071 the smallest integer that is 16556757 that is divisible by both numbers.

Least Common Multiple (LCM) of 4067 and 4071 is 16556757.

LCM(4067,4071) = 16556757

LCM of 4067 and 4071

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

LCM of:
and

Least Common Multiple of 4067 and 4071

LCM of 4067 and 4071 is 16556757

Least common multiple can be found by multiplying the highest exponent prime factors of 4067 and 4071. First we will calculate the prime factors of 4067 and 4071.

Prime Factorization of 4067


7 4067
7 581
83 83
1

Prime factors of 4067 are 7,83. Prime factorization of 4067 in exponential form is:

4067 = 72×831

Prime Factorization of 4071


3 4071
23 1357
59 59
1

Prime factors of 4071 are 3, 23,59. Prime factorization of 4071 in exponential form is:

4071 = 31×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4067 and 4071.

LCM(4067,4071) = 31×72×231×591×831
LCM(4067,4071) = 16556757

Factors of 4067

List of positive integer factors of 4067 that divides 4067 without a remainder.

1, 7, 49, 83, 581, 4067

Factors of 4071

List of positive integer factors of 4071 that divides 4071 without a remainder.

1, 3, 23, 59, 69, 177, 1357, 4071

Least Common Multiple of 4067 and 4071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4067 and 4071, than apply into the LCM equation.

GCF(4067,4071) = 1
LCM(4067,4071) = ( 4067 × 4071) / 1
LCM(4067,4071) = 16556757 / 1
LCM(4067,4071) = 16556757

Properties of LCM 4067 and 4071

(i) The LCM of 4071 and 4067 is associative

LCM of 4067 and 4071 = LCM of 4071 and 4067

Related Least Common Multiples of 4067

Related Least Common Multiples of 4071

Frequently Asked Questions on LCM of 4067 and 4071

1. What is the LCM of 4067 and 4071?

Answer: LCM of 4067 and 4071 is 16556757.

2. What are the Factors of 4067?

Answer: Factors of 4067 are 1, 7, 49, 83, 581, 4067. There are 6 integers that are factors of 4067. The greatest factor of 4067 is 4067.

3. What are the Factors of 4071?

Answer: Factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071. There are 8 integers that are factors of 4071. The greatest factor of 4071 is 4071.

4. How to Find the LCM of 4067 and 4071?

Answer:

Least Common Multiple of 4067 and 4071 = 16556757

Step 1: Find the prime factorization of 4067

4067 = 7 x 7 x 83

Step 2: Find the prime factorization of 4071

4071 = 3 x 23 x 59

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

LCM = 16556757 = 3 x 7 x 7 x 23 x 59 x 83

Step 4: Therefore, the least common multiple of 4067 and 4071 is 16556757.