Least Common Multiple of 4034 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 4034 and 4042 the smallest integer that is 8152714 that is divisible by both numbers.

Least Common Multiple (LCM) of 4034 and 4042 is 8152714.

LCM(4034,4042) = 8152714

LCM of 4034 and 4042

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

LCM of:
and

Least Common Multiple of 4034 and 4042

LCM of 4034 and 4042 is 8152714

Least common multiple can be found by multiplying the highest exponent prime factors of 4034 and 4042. First we will calculate the prime factors of 4034 and 4042.

Prime Factorization of 4034


2 4034
2017 2017
1

Prime factors of 4034 are 2,2017. Prime factorization of 4034 in exponential form is:

4034 = 21×20171

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 4034 and 4042.

LCM(4034,4042) = 21×431×471×20171
LCM(4034,4042) = 8152714

Factors of 4034

List of positive integer factors of 4034 that divides 4034 without a remainder.

1, 2, 2017, 4034

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 4034 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 4034 and 4042, than apply into the LCM equation.

GCF(4034,4042) = 2
LCM(4034,4042) = ( 4034 × 4042) / 2
LCM(4034,4042) = 16305428 / 2
LCM(4034,4042) = 8152714

Properties of LCM 4034 and 4042

(i) The LCM of 4042 and 4034 is associative

LCM of 4034 and 4042 = LCM of 4042 and 4034

Related Least Common Multiples of 4034

Related Least Common Multiples of 4042

Frequently Asked Questions on LCM of 4034 and 4042

1. What is the LCM of 4034 and 4042?

Answer: LCM of 4034 and 4042 is 8152714.

2. What are the Factors of 4034?

Answer: Factors of 4034 are 1, 2, 2017, 4034. There are 4 integers that are factors of 4034. The greatest factor of 4034 is 4034.

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 4034 and 4042?

Answer:

Least Common Multiple of 4034 and 4042 = 8152714

Step 1: Find the prime factorization of 4034

4034 = 2 x 2017

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 = 8152714 = 2 x 43 x 47 x 2017

Step 4: Therefore, the least common multiple of 4034 and 4042 is 8152714.