Least Common Multiple of 4036 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 4036 and 4042 the smallest integer that is 8156756 that is divisible by both numbers.

Least Common Multiple (LCM) of 4036 and 4042 is 8156756.

LCM(4036,4042) = 8156756

LCM of 4036 and 4042

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

LCM of:
and

Least Common Multiple of 4036 and 4042

LCM of 4036 and 4042 is 8156756

Least common multiple can be found by multiplying the highest exponent prime factors of 4036 and 4042. First we will calculate the prime factors of 4036 and 4042.

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 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 4036 and 4042.

LCM(4036,4042) = 22×431×471×10091
LCM(4036,4042) = 8156756

Factors of 4036

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

1, 2, 4, 1009, 2018, 4036

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 4036 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 4036 and 4042, than apply into the LCM equation.

GCF(4036,4042) = 2
LCM(4036,4042) = ( 4036 × 4042) / 2
LCM(4036,4042) = 16313512 / 2
LCM(4036,4042) = 8156756

Properties of LCM 4036 and 4042

(i) The LCM of 4042 and 4036 is associative

LCM of 4036 and 4042 = LCM of 4042 and 4036

Related Least Common Multiples of 4036

Related Least Common Multiples of 4042

Frequently Asked Questions on LCM of 4036 and 4042

1. What is the LCM of 4036 and 4042?

Answer: LCM of 4036 and 4042 is 8156756.

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 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 4036 and 4042?

Answer:

Least Common Multiple of 4036 and 4042 = 8156756

Step 1: Find the prime factorization of 4036

4036 = 2 x 2 x 1009

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 = 8156756 = 2 x 2 x 43 x 47 x 1009

Step 4: Therefore, the least common multiple of 4036 and 4042 is 8156756.