Least Common Multiple of 8034 and 8038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8034 and 8038 the smallest integer that is 32288646 that is divisible by both numbers.

Least Common Multiple (LCM) of 8034 and 8038 is 32288646.

LCM(8034,8038) = 32288646

LCM of 8034 and 8038

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

LCM of:
and

Least Common Multiple of 8034 and 8038

LCM of 8034 and 8038 is 32288646

Least common multiple can be found by multiplying the highest exponent prime factors of 8034 and 8038. First we will calculate the prime factors of 8034 and 8038.

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

Prime Factorization of 8038


2 8038
4019 4019
1

Prime factors of 8038 are 2,4019. Prime factorization of 8038 in exponential form is:

8038 = 21×40191

Now multiplying the highest exponent prime factors to calculate the LCM of 8034 and 8038.

LCM(8034,8038) = 21×31×131×1031×40191
LCM(8034,8038) = 32288646

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

Factors of 8038

List of positive integer factors of 8038 that divides 8038 without a remainder.

1, 2, 4019, 8038

Least Common Multiple of 8034 and 8038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8034 and 8038, than apply into the LCM equation.

GCF(8034,8038) = 2
LCM(8034,8038) = ( 8034 × 8038) / 2
LCM(8034,8038) = 64577292 / 2
LCM(8034,8038) = 32288646

Properties of LCM 8034 and 8038

(i) The LCM of 8038 and 8034 is associative

LCM of 8034 and 8038 = LCM of 8038 and 8034

Related Least Common Multiples of 8034

Related Least Common Multiples of 8038

Frequently Asked Questions on LCM of 8034 and 8038

1. What is the LCM of 8034 and 8038?

Answer: LCM of 8034 and 8038 is 32288646.

2. 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.

3. What are the Factors of 8038?

Answer: Factors of 8038 are 1, 2, 4019, 8038. There are 4 integers that are factors of 8038. The greatest factor of 8038 is 8038.

4. How to Find the LCM of 8034 and 8038?

Answer:

Least Common Multiple of 8034 and 8038 = 32288646

Step 1: Find the prime factorization of 8034

8034 = 2 x 3 x 13 x 103

Step 2: Find the prime factorization of 8038

8038 = 2 x 4019

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

LCM = 32288646 = 2 x 3 x 13 x 103 x 4019

Step 4: Therefore, the least common multiple of 8034 and 8038 is 32288646.