Least Common Multiple of 4071 and 4076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4071 and 4076 the smallest integer that is 16593396 that is divisible by both numbers.

Least Common Multiple (LCM) of 4071 and 4076 is 16593396.

LCM(4071,4076) = 16593396

LCM of 4071 and 4076

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

LCM of:
and

Least Common Multiple of 4071 and 4076

LCM of 4071 and 4076 is 16593396

Least common multiple can be found by multiplying the highest exponent prime factors of 4071 and 4076. First we will calculate the prime factors of 4071 and 4076.

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

Prime Factorization of 4076


2 4076
2 2038
1019 1019
1

Prime factors of 4076 are 2,1019. Prime factorization of 4076 in exponential form is:

4076 = 22×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 4071 and 4076.

LCM(4071,4076) = 22×31×231×591×10191
LCM(4071,4076) = 16593396

Factors of 4071

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

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

Factors of 4076

List of positive integer factors of 4076 that divides 4076 without a remainder.

1, 2, 4, 1019, 2038, 4076

Least Common Multiple of 4071 and 4076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4071 and 4076, than apply into the LCM equation.

GCF(4071,4076) = 1
LCM(4071,4076) = ( 4071 × 4076) / 1
LCM(4071,4076) = 16593396 / 1
LCM(4071,4076) = 16593396

Properties of LCM 4071 and 4076

(i) The LCM of 4076 and 4071 is associative

LCM of 4071 and 4076 = LCM of 4076 and 4071

Related Least Common Multiples of 4071

Related Least Common Multiples of 4076

Frequently Asked Questions on LCM of 4071 and 4076

1. What is the LCM of 4071 and 4076?

Answer: LCM of 4071 and 4076 is 16593396.

2. 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.

3. What are the Factors of 4076?

Answer: Factors of 4076 are 1, 2, 4, 1019, 2038, 4076. There are 6 integers that are factors of 4076. The greatest factor of 4076 is 4076.

4. How to Find the LCM of 4071 and 4076?

Answer:

Least Common Multiple of 4071 and 4076 = 16593396

Step 1: Find the prime factorization of 4071

4071 = 3 x 23 x 59

Step 2: Find the prime factorization of 4076

4076 = 2 x 2 x 1019

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

LCM = 16593396 = 2 x 2 x 3 x 23 x 59 x 1019

Step 4: Therefore, the least common multiple of 4071 and 4076 is 16593396.