Least Common Multiple of 4026 and 4034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4026 and 4034 the smallest integer that is 8120442 that is divisible by both numbers.

Least Common Multiple (LCM) of 4026 and 4034 is 8120442.

LCM(4026,4034) = 8120442

LCM of 4026 and 4034

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

LCM of:
and

Least Common Multiple of 4026 and 4034

LCM of 4026 and 4034 is 8120442

Least common multiple can be found by multiplying the highest exponent prime factors of 4026 and 4034. First we will calculate the prime factors of 4026 and 4034.

Prime Factorization of 4026


2 4026
3 2013
11 671
61 61
1

Prime factors of 4026 are 2, 3, 11,61. Prime factorization of 4026 in exponential form is:

4026 = 21×31×111×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4026 and 4034.

LCM(4026,4034) = 21×31×111×611×20171
LCM(4026,4034) = 8120442

Factors of 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026

Factors of 4034

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

1, 2, 2017, 4034

Least Common Multiple of 4026 and 4034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4026 and 4034, than apply into the LCM equation.

GCF(4026,4034) = 2
LCM(4026,4034) = ( 4026 × 4034) / 2
LCM(4026,4034) = 16240884 / 2
LCM(4026,4034) = 8120442

Properties of LCM 4026 and 4034

(i) The LCM of 4034 and 4026 is associative

LCM of 4026 and 4034 = LCM of 4034 and 4026

Related Least Common Multiples of 4026

Related Least Common Multiples of 4034

Frequently Asked Questions on LCM of 4026 and 4034

1. What is the LCM of 4026 and 4034?

Answer: LCM of 4026 and 4034 is 8120442.

2. What are the Factors of 4026?

Answer: Factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026. There are 16 integers that are factors of 4026. The greatest factor of 4026 is 4026.

3. 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.

4. How to Find the LCM of 4026 and 4034?

Answer:

Least Common Multiple of 4026 and 4034 = 8120442

Step 1: Find the prime factorization of 4026

4026 = 2 x 3 x 11 x 61

Step 2: Find the prime factorization of 4034

4034 = 2 x 2017

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

LCM = 8120442 = 2 x 3 x 11 x 61 x 2017

Step 4: Therefore, the least common multiple of 4026 and 4034 is 8120442.