Least Common Multiple of 7018 and 7020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7018 and 7020 the smallest integer that is 24633180 that is divisible by both numbers.

Least Common Multiple (LCM) of 7018 and 7020 is 24633180.

LCM(7018,7020) = 24633180

LCM of 7018 and 7020

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

LCM of:
and

Least Common Multiple of 7018 and 7020

LCM of 7018 and 7020 is 24633180

Least common multiple can be found by multiplying the highest exponent prime factors of 7018 and 7020. First we will calculate the prime factors of 7018 and 7020.

Prime Factorization of 7018


2 7018
11 3509
11 319
29 29
1

Prime factors of 7018 are 2, 11,29. Prime factorization of 7018 in exponential form is:

7018 = 21×112×291

Prime Factorization of 7020


2 7020
2 3510
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 7020 are 2, 3, 5,13. Prime factorization of 7020 in exponential form is:

7020 = 22×33×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 7018 and 7020.

LCM(7018,7020) = 22×33×51×112×131×291
LCM(7018,7020) = 24633180

Factors of 7018

List of positive integer factors of 7018 that divides 7018 without a remainder.

1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018

Factors of 7020

List of positive integer factors of 7020 that divides 7020 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020

Least Common Multiple of 7018 and 7020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7018 and 7020, than apply into the LCM equation.

GCF(7018,7020) = 2
LCM(7018,7020) = ( 7018 × 7020) / 2
LCM(7018,7020) = 49266360 / 2
LCM(7018,7020) = 24633180

Properties of LCM 7018 and 7020

(i) The LCM of 7020 and 7018 is associative

LCM of 7018 and 7020 = LCM of 7020 and 7018

Related Least Common Multiples of 7018

Related Least Common Multiples of 7020

Frequently Asked Questions on LCM of 7018 and 7020

1. What is the LCM of 7018 and 7020?

Answer: LCM of 7018 and 7020 is 24633180.

2. What are the Factors of 7018?

Answer: Factors of 7018 are 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 3509, 7018. There are 12 integers that are factors of 7018. The greatest factor of 7018 is 7018.

3. What are the Factors of 7020?

Answer: Factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020. There are 48 integers that are factors of 7020. The greatest factor of 7020 is 7020.

4. How to Find the LCM of 7018 and 7020?

Answer:

Least Common Multiple of 7018 and 7020 = 24633180

Step 1: Find the prime factorization of 7018

7018 = 2 x 11 x 11 x 29

Step 2: Find the prime factorization of 7020

7020 = 2 x 2 x 3 x 3 x 3 x 5 x 13

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

LCM = 24633180 = 2 x 2 x 3 x 3 x 3 x 5 x 11 x 11 x 13 x 29

Step 4: Therefore, the least common multiple of 7018 and 7020 is 24633180.