Least Common Multiple of 8026 and 8034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8026 and 8034 the smallest integer that is 32240442 that is divisible by both numbers.

Least Common Multiple (LCM) of 8026 and 8034 is 32240442.

LCM(8026,8034) = 32240442

LCM of 8026 and 8034

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

LCM of:
and

Least Common Multiple of 8026 and 8034

LCM of 8026 and 8034 is 32240442

Least common multiple can be found by multiplying the highest exponent prime factors of 8026 and 8034. First we will calculate the prime factors of 8026 and 8034.

Prime Factorization of 8026


2 8026
4013 4013
1

Prime factors of 8026 are 2,4013. Prime factorization of 8026 in exponential form is:

8026 = 21×40131

Prime Factorization of 8034


2 8034
3 4017
13 1339
103 103
1

Prime factors of 8034 are 2, 3, 13,103. Prime factorization of 8034 in exponential form is:

8034 = 21×31×131×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8026 and 8034.

LCM(8026,8034) = 21×31×131×1031×40131
LCM(8026,8034) = 32240442

Factors of 8026

List of positive integer factors of 8026 that divides 8026 without a remainder.

1, 2, 4013, 8026

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034

Least Common Multiple of 8026 and 8034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8026 and 8034, than apply into the LCM equation.

GCF(8026,8034) = 2
LCM(8026,8034) = ( 8026 × 8034) / 2
LCM(8026,8034) = 64480884 / 2
LCM(8026,8034) = 32240442

Properties of LCM 8026 and 8034

(i) The LCM of 8034 and 8026 is associative

LCM of 8026 and 8034 = LCM of 8034 and 8026

Related Least Common Multiples of 8026

Related Least Common Multiples of 8034

Frequently Asked Questions on LCM of 8026 and 8034

1. What is the LCM of 8026 and 8034?

Answer: LCM of 8026 and 8034 is 32240442.

2. What are the Factors of 8026?

Answer: Factors of 8026 are 1, 2, 4013, 8026. There are 4 integers that are factors of 8026. The greatest factor of 8026 is 8026.

3. What are the Factors of 8034?

Answer: Factors of 8034 are 1, 2, 3, 6, 13, 26, 39, 78, 103, 206, 309, 618, 1339, 2678, 4017, 8034. There are 16 integers that are factors of 8034. The greatest factor of 8034 is 8034.

4. How to Find the LCM of 8026 and 8034?

Answer:

Least Common Multiple of 8026 and 8034 = 32240442

Step 1: Find the prime factorization of 8026

8026 = 2 x 4013

Step 2: Find the prime factorization of 8034

8034 = 2 x 3 x 13 x 103

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

LCM = 32240442 = 2 x 3 x 13 x 103 x 4013

Step 4: Therefore, the least common multiple of 8026 and 8034 is 32240442.