Least Common Multiple of 8024 and 8028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8024 and 8028 the smallest integer that is 16104168 that is divisible by both numbers.

Least Common Multiple (LCM) of 8024 and 8028 is 16104168.

LCM(8024,8028) = 16104168

LCM of 8024 and 8028

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

LCM of:
and

Least Common Multiple of 8024 and 8028

LCM of 8024 and 8028 is 16104168

Least common multiple can be found by multiplying the highest exponent prime factors of 8024 and 8028. First we will calculate the prime factors of 8024 and 8028.

Prime Factorization of 8024


2 8024
2 4012
2 2006
17 1003
59 59
1

Prime factors of 8024 are 2, 17,59. Prime factorization of 8024 in exponential form is:

8024 = 23×171×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8024 and 8028.

LCM(8024,8028) = 23×32×171×591×2231
LCM(8024,8028) = 16104168

Factors of 8024

List of positive integer factors of 8024 that divides 8024 without a remainder.

1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024

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

Least Common Multiple of 8024 and 8028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8024 and 8028, than apply into the LCM equation.

GCF(8024,8028) = 4
LCM(8024,8028) = ( 8024 × 8028) / 4
LCM(8024,8028) = 64416672 / 4
LCM(8024,8028) = 16104168

Properties of LCM 8024 and 8028

(i) The LCM of 8028 and 8024 is associative

LCM of 8024 and 8028 = LCM of 8028 and 8024

Related Least Common Multiples of 8024

Related Least Common Multiples of 8028

Frequently Asked Questions on LCM of 8024 and 8028

1. What is the LCM of 8024 and 8028?

Answer: LCM of 8024 and 8028 is 16104168.

2. What are the Factors of 8024?

Answer: Factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024. There are 16 integers that are factors of 8024. The greatest factor of 8024 is 8024.

3. 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.

4. How to Find the LCM of 8024 and 8028?

Answer:

Least Common Multiple of 8024 and 8028 = 16104168

Step 1: Find the prime factorization of 8024

8024 = 2 x 2 x 2 x 17 x 59

Step 2: Find the prime factorization of 8028

8028 = 2 x 2 x 3 x 3 x 223

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

LCM = 16104168 = 2 x 2 x 2 x 3 x 3 x 17 x 59 x 223

Step 4: Therefore, the least common multiple of 8024 and 8028 is 16104168.