Least Common Multiple of 7028 and 7032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7028 and 7032 the smallest integer that is 12355224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7028 and 7032 is 12355224.

LCM(7028,7032) = 12355224

LCM of 7028 and 7032

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

LCM of:
and

Least Common Multiple of 7028 and 7032

LCM of 7028 and 7032 is 12355224

Least common multiple can be found by multiplying the highest exponent prime factors of 7028 and 7032. First we will calculate the prime factors of 7028 and 7032.

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

Prime Factorization of 7032


2 7032
2 3516
2 1758
3 879
293 293
1

Prime factors of 7032 are 2, 3,293. Prime factorization of 7032 in exponential form is:

7032 = 23×31×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 7028 and 7032.

LCM(7028,7032) = 23×31×71×2511×2931
LCM(7028,7032) = 12355224

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

Factors of 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032

Least Common Multiple of 7028 and 7032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7028 and 7032, than apply into the LCM equation.

GCF(7028,7032) = 4
LCM(7028,7032) = ( 7028 × 7032) / 4
LCM(7028,7032) = 49420896 / 4
LCM(7028,7032) = 12355224

Properties of LCM 7028 and 7032

(i) The LCM of 7032 and 7028 is associative

LCM of 7028 and 7032 = LCM of 7032 and 7028

Related Least Common Multiples of 7028

Related Least Common Multiples of 7032

Frequently Asked Questions on LCM of 7028 and 7032

1. What is the LCM of 7028 and 7032?

Answer: LCM of 7028 and 7032 is 12355224.

2. 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.

3. What are the Factors of 7032?

Answer: Factors of 7032 are 1, 2, 3, 4, 6, 8, 12, 24, 293, 586, 879, 1172, 1758, 2344, 3516, 7032. There are 16 integers that are factors of 7032. The greatest factor of 7032 is 7032.

4. How to Find the LCM of 7028 and 7032?

Answer:

Least Common Multiple of 7028 and 7032 = 12355224

Step 1: Find the prime factorization of 7028

7028 = 2 x 2 x 7 x 251

Step 2: Find the prime factorization of 7032

7032 = 2 x 2 x 2 x 3 x 293

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

LCM = 12355224 = 2 x 2 x 2 x 3 x 7 x 251 x 293

Step 4: Therefore, the least common multiple of 7028 and 7032 is 12355224.