Least Common Multiple of 4036 and 4041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4036 and 4041 the smallest integer that is 16309476 that is divisible by both numbers.

Least Common Multiple (LCM) of 4036 and 4041 is 16309476.

LCM(4036,4041) = 16309476

LCM of 4036 and 4041

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

LCM of:
and

Least Common Multiple of 4036 and 4041

LCM of 4036 and 4041 is 16309476

Least common multiple can be found by multiplying the highest exponent prime factors of 4036 and 4041. First we will calculate the prime factors of 4036 and 4041.

Prime Factorization of 4036


2 4036
2 2018
1009 1009
1

Prime factors of 4036 are 2,1009. Prime factorization of 4036 in exponential form is:

4036 = 22×10091

Prime Factorization of 4041


3 4041
3 1347
449 449
1

Prime factors of 4041 are 3,449. Prime factorization of 4041 in exponential form is:

4041 = 32×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 4036 and 4041.

LCM(4036,4041) = 22×32×4491×10091
LCM(4036,4041) = 16309476

Factors of 4036

List of positive integer factors of 4036 that divides 4036 without a remainder.

1, 2, 4, 1009, 2018, 4036

Factors of 4041

List of positive integer factors of 4041 that divides 4041 without a remainder.

1, 3, 9, 449, 1347, 4041

Least Common Multiple of 4036 and 4041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4036 and 4041, than apply into the LCM equation.

GCF(4036,4041) = 1
LCM(4036,4041) = ( 4036 × 4041) / 1
LCM(4036,4041) = 16309476 / 1
LCM(4036,4041) = 16309476

Properties of LCM 4036 and 4041

(i) The LCM of 4041 and 4036 is associative

LCM of 4036 and 4041 = LCM of 4041 and 4036

Related Least Common Multiples of 4036

Related Least Common Multiples of 4041

Frequently Asked Questions on LCM of 4036 and 4041

1. What is the LCM of 4036 and 4041?

Answer: LCM of 4036 and 4041 is 16309476.

2. What are the Factors of 4036?

Answer: Factors of 4036 are 1, 2, 4, 1009, 2018, 4036. There are 6 integers that are factors of 4036. The greatest factor of 4036 is 4036.

3. What are the Factors of 4041?

Answer: Factors of 4041 are 1, 3, 9, 449, 1347, 4041. There are 6 integers that are factors of 4041. The greatest factor of 4041 is 4041.

4. How to Find the LCM of 4036 and 4041?

Answer:

Least Common Multiple of 4036 and 4041 = 16309476

Step 1: Find the prime factorization of 4036

4036 = 2 x 2 x 1009

Step 2: Find the prime factorization of 4041

4041 = 3 x 3 x 449

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

LCM = 16309476 = 2 x 2 x 3 x 3 x 449 x 1009

Step 4: Therefore, the least common multiple of 4036 and 4041 is 16309476.