Least Common Multiple of 7018 and 7024

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 7024 the smallest integer that is 24647216 that is divisible by both numbers.

Least Common Multiple (LCM) of 7018 and 7024 is 24647216.

LCM(7018,7024) = 24647216

LCM of 7018 and 7024

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

LCM of:
and

Least Common Multiple of 7018 and 7024

LCM of 7018 and 7024 is 24647216

Least common multiple can be found by multiplying the highest exponent prime factors of 7018 and 7024. First we will calculate the prime factors of 7018 and 7024.

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 7024


2 7024
2 3512
2 1756
2 878
439 439
1

Prime factors of 7024 are 2,439. Prime factorization of 7024 in exponential form is:

7024 = 24×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 7018 and 7024.

LCM(7018,7024) = 24×112×291×4391
LCM(7018,7024) = 24647216

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 7024

List of positive integer factors of 7024 that divides 7024 without a remainder.

1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024

Least Common Multiple of 7018 and 7024 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 7024, than apply into the LCM equation.

GCF(7018,7024) = 2
LCM(7018,7024) = ( 7018 × 7024) / 2
LCM(7018,7024) = 49294432 / 2
LCM(7018,7024) = 24647216

Properties of LCM 7018 and 7024

(i) The LCM of 7024 and 7018 is associative

LCM of 7018 and 7024 = LCM of 7024 and 7018

Related Least Common Multiples of 7018

Related Least Common Multiples of 7024

Frequently Asked Questions on LCM of 7018 and 7024

1. What is the LCM of 7018 and 7024?

Answer: LCM of 7018 and 7024 is 24647216.

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 7024?

Answer: Factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024. There are 10 integers that are factors of 7024. The greatest factor of 7024 is 7024.

4. How to Find the LCM of 7018 and 7024?

Answer:

Least Common Multiple of 7018 and 7024 = 24647216

Step 1: Find the prime factorization of 7018

7018 = 2 x 11 x 11 x 29

Step 2: Find the prime factorization of 7024

7024 = 2 x 2 x 2 x 2 x 439

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

LCM = 24647216 = 2 x 2 x 2 x 2 x 11 x 11 x 29 x 439

Step 4: Therefore, the least common multiple of 7018 and 7024 is 24647216.