Least Common Multiple of 4041 and 4042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4041 and 4042 the smallest integer that is 16333722 that is divisible by both numbers.

Least Common Multiple (LCM) of 4041 and 4042 is 16333722.

LCM(4041,4042) = 16333722

LCM of 4041 and 4042

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

LCM of:
and

Least Common Multiple of 4041 and 4042

LCM of 4041 and 4042 is 16333722

Least common multiple can be found by multiplying the highest exponent prime factors of 4041 and 4042. First we will calculate the prime factors of 4041 and 4042.

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

Prime Factorization of 4042


2 4042
43 2021
47 47
1

Prime factors of 4042 are 2, 43,47. Prime factorization of 4042 in exponential form is:

4042 = 21×431×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4041 and 4042.

LCM(4041,4042) = 21×32×431×471×4491
LCM(4041,4042) = 16333722

Factors of 4041

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

1, 3, 9, 449, 1347, 4041

Factors of 4042

List of positive integer factors of 4042 that divides 4042 without a remainder.

1, 2, 43, 47, 86, 94, 2021, 4042

Least Common Multiple of 4041 and 4042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4041 and 4042, than apply into the LCM equation.

GCF(4041,4042) = 1
LCM(4041,4042) = ( 4041 × 4042) / 1
LCM(4041,4042) = 16333722 / 1
LCM(4041,4042) = 16333722

Properties of LCM 4041 and 4042

(i) The LCM of 4042 and 4041 is associative

LCM of 4041 and 4042 = LCM of 4042 and 4041

Related Least Common Multiples of 4041

Related Least Common Multiples of 4042

Frequently Asked Questions on LCM of 4041 and 4042

1. What is the LCM of 4041 and 4042?

Answer: LCM of 4041 and 4042 is 16333722.

2. 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.

3. What are the Factors of 4042?

Answer: Factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042. There are 8 integers that are factors of 4042. The greatest factor of 4042 is 4042.

4. How to Find the LCM of 4041 and 4042?

Answer:

Least Common Multiple of 4041 and 4042 = 16333722

Step 1: Find the prime factorization of 4041

4041 = 3 x 3 x 449

Step 2: Find the prime factorization of 4042

4042 = 2 x 43 x 47

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

LCM = 16333722 = 2 x 3 x 3 x 43 x 47 x 449

Step 4: Therefore, the least common multiple of 4041 and 4042 is 16333722.