Least Common Multiple of 7028 and 7035

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 7035 the smallest integer that is 7063140 that is divisible by both numbers.

Least Common Multiple (LCM) of 7028 and 7035 is 7063140.

LCM(7028,7035) = 7063140

LCM of 7028 and 7035

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

LCM of:
and

Least Common Multiple of 7028 and 7035

LCM of 7028 and 7035 is 7063140

Least common multiple can be found by multiplying the highest exponent prime factors of 7028 and 7035. First we will calculate the prime factors of 7028 and 7035.

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 7035


3 7035
5 2345
7 469
67 67
1

Prime factors of 7035 are 3, 5, 7,67. Prime factorization of 7035 in exponential form is:

7035 = 31×51×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7028 and 7035.

LCM(7028,7035) = 22×31×51×71×671×2511
LCM(7028,7035) = 7063140

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 7035

List of positive integer factors of 7035 that divides 7035 without a remainder.

1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035

Least Common Multiple of 7028 and 7035 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 7035, than apply into the LCM equation.

GCF(7028,7035) = 7
LCM(7028,7035) = ( 7028 × 7035) / 7
LCM(7028,7035) = 49441980 / 7
LCM(7028,7035) = 7063140

Properties of LCM 7028 and 7035

(i) The LCM of 7035 and 7028 is associative

LCM of 7028 and 7035 = LCM of 7035 and 7028

Related Least Common Multiples of 7028

Related Least Common Multiples of 7035

Frequently Asked Questions on LCM of 7028 and 7035

1. What is the LCM of 7028 and 7035?

Answer: LCM of 7028 and 7035 is 7063140.

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 7035?

Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.

4. How to Find the LCM of 7028 and 7035?

Answer:

Least Common Multiple of 7028 and 7035 = 7063140

Step 1: Find the prime factorization of 7028

7028 = 2 x 2 x 7 x 251

Step 2: Find the prime factorization of 7035

7035 = 3 x 5 x 7 x 67

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

LCM = 7063140 = 2 x 2 x 3 x 5 x 7 x 67 x 251

Step 4: Therefore, the least common multiple of 7028 and 7035 is 7063140.