Least Common Multiple of 7028 and 7033

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 7033 the smallest integer that is 49427924 that is divisible by both numbers.

Least Common Multiple (LCM) of 7028 and 7033 is 49427924.

LCM(7028,7033) = 49427924

LCM of 7028 and 7033

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

LCM of:
and

Least Common Multiple of 7028 and 7033

LCM of 7028 and 7033 is 49427924

Least common multiple can be found by multiplying the highest exponent prime factors of 7028 and 7033. First we will calculate the prime factors of 7028 and 7033.

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 7033


13 7033
541 541
1

Prime factors of 7033 are 13,541. Prime factorization of 7033 in exponential form is:

7033 = 131×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 7028 and 7033.

LCM(7028,7033) = 22×71×131×2511×5411
LCM(7028,7033) = 49427924

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 7033

List of positive integer factors of 7033 that divides 7033 without a remainder.

1, 13, 541, 7033

Least Common Multiple of 7028 and 7033 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 7033, than apply into the LCM equation.

GCF(7028,7033) = 1
LCM(7028,7033) = ( 7028 × 7033) / 1
LCM(7028,7033) = 49427924 / 1
LCM(7028,7033) = 49427924

Properties of LCM 7028 and 7033

(i) The LCM of 7033 and 7028 is associative

LCM of 7028 and 7033 = LCM of 7033 and 7028

Related Least Common Multiples of 7028

Related Least Common Multiples of 7033

Frequently Asked Questions on LCM of 7028 and 7033

1. What is the LCM of 7028 and 7033?

Answer: LCM of 7028 and 7033 is 49427924.

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 7033?

Answer: Factors of 7033 are 1, 13, 541, 7033. There are 4 integers that are factors of 7033. The greatest factor of 7033 is 7033.

4. How to Find the LCM of 7028 and 7033?

Answer:

Least Common Multiple of 7028 and 7033 = 49427924

Step 1: Find the prime factorization of 7028

7028 = 2 x 2 x 7 x 251

Step 2: Find the prime factorization of 7033

7033 = 13 x 541

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

LCM = 49427924 = 2 x 2 x 7 x 13 x 251 x 541

Step 4: Therefore, the least common multiple of 7028 and 7033 is 49427924.