Least Common Multiple of 7024 and 7028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7024 and 7028 the smallest integer that is 12341168 that is divisible by both numbers.

Least Common Multiple (LCM) of 7024 and 7028 is 12341168.

LCM(7024,7028) = 12341168

LCM of 7024 and 7028

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

LCM of:
and

Least Common Multiple of 7024 and 7028

LCM of 7024 and 7028 is 12341168

Least common multiple can be found by multiplying the highest exponent prime factors of 7024 and 7028. First we will calculate the prime factors of 7024 and 7028.

Prime Factorization of 7024


2 7024
2 3512
2 1756
2 878
439 439
1

Prime factors of 7024 are 2,439. Prime factorization of 7024 in exponential form is:

7024 = 24×4391

Prime Factorization of 7028


2 7028
2 3514
7 1757
251 251
1

Prime factors of 7028 are 2, 7,251. Prime factorization of 7028 in exponential form is:

7028 = 22×71×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 7024 and 7028.

LCM(7024,7028) = 24×71×2511×4391
LCM(7024,7028) = 12341168

Factors of 7024

List of positive integer factors of 7024 that divides 7024 without a remainder.

1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024

Factors of 7028

List of positive integer factors of 7028 that divides 7028 without a remainder.

1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028

Least Common Multiple of 7024 and 7028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7024 and 7028, than apply into the LCM equation.

GCF(7024,7028) = 4
LCM(7024,7028) = ( 7024 × 7028) / 4
LCM(7024,7028) = 49364672 / 4
LCM(7024,7028) = 12341168

Properties of LCM 7024 and 7028

(i) The LCM of 7028 and 7024 is associative

LCM of 7024 and 7028 = LCM of 7028 and 7024

Related Least Common Multiples of 7024

Related Least Common Multiples of 7028

Frequently Asked Questions on LCM of 7024 and 7028

1. What is the LCM of 7024 and 7028?

Answer: LCM of 7024 and 7028 is 12341168.

2. What are the Factors of 7024?

Answer: Factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024. There are 10 integers that are factors of 7024. The greatest factor of 7024 is 7024.

3. What are the Factors of 7028?

Answer: Factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028. There are 12 integers that are factors of 7028. The greatest factor of 7028 is 7028.

4. How to Find the LCM of 7024 and 7028?

Answer:

Least Common Multiple of 7024 and 7028 = 12341168

Step 1: Find the prime factorization of 7024

7024 = 2 x 2 x 2 x 2 x 439

Step 2: Find the prime factorization of 7028

7028 = 2 x 2 x 7 x 251

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

LCM = 12341168 = 2 x 2 x 2 x 2 x 7 x 251 x 439

Step 4: Therefore, the least common multiple of 7024 and 7028 is 12341168.