Least Common Multiple of 4076 and 4081

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4076 and 4081 the smallest integer that is 16634156 that is divisible by both numbers.

Least Common Multiple (LCM) of 4076 and 4081 is 16634156.

LCM(4076,4081) = 16634156

LCM of 4076 and 4081

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

LCM of:
and

Least Common Multiple of 4076 and 4081

LCM of 4076 and 4081 is 16634156

Least common multiple can be found by multiplying the highest exponent prime factors of 4076 and 4081. First we will calculate the prime factors of 4076 and 4081.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4076 and 4081.

LCM(4076,4081) = 22×71×111×531×10191
LCM(4076,4081) = 16634156

Factors of 4076

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

1, 2, 4, 1019, 2038, 4076

Factors of 4081

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

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

Least Common Multiple of 4076 and 4081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4076 and 4081, than apply into the LCM equation.

GCF(4076,4081) = 1
LCM(4076,4081) = ( 4076 × 4081) / 1
LCM(4076,4081) = 16634156 / 1
LCM(4076,4081) = 16634156

Properties of LCM 4076 and 4081

(i) The LCM of 4081 and 4076 is associative

LCM of 4076 and 4081 = LCM of 4081 and 4076

Related Least Common Multiples of 4076

Related Least Common Multiples of 4081

Frequently Asked Questions on LCM of 4076 and 4081

1. What is the LCM of 4076 and 4081?

Answer: LCM of 4076 and 4081 is 16634156.

2. 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.

3. 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.

4. How to Find the LCM of 4076 and 4081?

Answer:

Least Common Multiple of 4076 and 4081 = 16634156

Step 1: Find the prime factorization of 4076

4076 = 2 x 2 x 1019

Step 2: Find the prime factorization of 4081

4081 = 7 x 11 x 53

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

LCM = 16634156 = 2 x 2 x 7 x 11 x 53 x 1019

Step 4: Therefore, the least common multiple of 4076 and 4081 is 16634156.