Least Common Multiple of 8028 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 8028 and 8034 the smallest integer that is 10749492 that is divisible by both numbers.

Least Common Multiple (LCM) of 8028 and 8034 is 10749492.

LCM(8028,8034) = 10749492

LCM of 8028 and 8034

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

LCM of:
and

Least Common Multiple of 8028 and 8034

LCM of 8028 and 8034 is 10749492

Least common multiple can be found by multiplying the highest exponent prime factors of 8028 and 8034. First we will calculate the prime factors of 8028 and 8034.

Prime Factorization of 8028


2 8028
2 4014
3 2007
3 669
223 223
1

Prime factors of 8028 are 2, 3,223. Prime factorization of 8028 in exponential form is:

8028 = 22×32×2231

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 8028 and 8034.

LCM(8028,8034) = 22×32×131×1031×2231
LCM(8028,8034) = 10749492

Factors of 8028

List of positive integer factors of 8028 that divides 8028 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028

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 8028 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 8028 and 8034, than apply into the LCM equation.

GCF(8028,8034) = 6
LCM(8028,8034) = ( 8028 × 8034) / 6
LCM(8028,8034) = 64496952 / 6
LCM(8028,8034) = 10749492

Properties of LCM 8028 and 8034

(i) The LCM of 8034 and 8028 is associative

LCM of 8028 and 8034 = LCM of 8034 and 8028

Related Least Common Multiples of 8028

Related Least Common Multiples of 8034

Frequently Asked Questions on LCM of 8028 and 8034

1. What is the LCM of 8028 and 8034?

Answer: LCM of 8028 and 8034 is 10749492.

2. What are the Factors of 8028?

Answer: Factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028. There are 18 integers that are factors of 8028. The greatest factor of 8028 is 8028.

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 8028 and 8034?

Answer:

Least Common Multiple of 8028 and 8034 = 10749492

Step 1: Find the prime factorization of 8028

8028 = 2 x 2 x 3 x 3 x 223

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 = 10749492 = 2 x 2 x 3 x 3 x 13 x 103 x 223

Step 4: Therefore, the least common multiple of 8028 and 8034 is 10749492.