Least Common Multiple of 7023 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 7023 and 7028 the smallest integer that is 49357644 that is divisible by both numbers.

Least Common Multiple (LCM) of 7023 and 7028 is 49357644.

LCM(7023,7028) = 49357644

LCM of 7023 and 7028

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

LCM of:
and

Least Common Multiple of 7023 and 7028

LCM of 7023 and 7028 is 49357644

Least common multiple can be found by multiplying the highest exponent prime factors of 7023 and 7028. First we will calculate the prime factors of 7023 and 7028.

Prime Factorization of 7023


3 7023
2341 2341
1

Prime factors of 7023 are 3,2341. Prime factorization of 7023 in exponential form is:

7023 = 31×23411

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 7023 and 7028.

LCM(7023,7028) = 22×31×71×2511×23411
LCM(7023,7028) = 49357644

Factors of 7023

List of positive integer factors of 7023 that divides 7023 without a remainder.

1, 3, 2341, 7023

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 7023 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 7023 and 7028, than apply into the LCM equation.

GCF(7023,7028) = 1
LCM(7023,7028) = ( 7023 × 7028) / 1
LCM(7023,7028) = 49357644 / 1
LCM(7023,7028) = 49357644

Properties of LCM 7023 and 7028

(i) The LCM of 7028 and 7023 is associative

LCM of 7023 and 7028 = LCM of 7028 and 7023

Related Least Common Multiples of 7023

Related Least Common Multiples of 7028

Frequently Asked Questions on LCM of 7023 and 7028

1. What is the LCM of 7023 and 7028?

Answer: LCM of 7023 and 7028 is 49357644.

2. What are the Factors of 7023?

Answer: Factors of 7023 are 1, 3, 2341, 7023. There are 4 integers that are factors of 7023. The greatest factor of 7023 is 7023.

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 7023 and 7028?

Answer:

Least Common Multiple of 7023 and 7028 = 49357644

Step 1: Find the prime factorization of 7023

7023 = 3 x 2341

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 = 49357644 = 2 x 2 x 3 x 7 x 251 x 2341

Step 4: Therefore, the least common multiple of 7023 and 7028 is 49357644.