Least Common Multiple of 7012 and 7018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7012 and 7018 the smallest integer that is 24605108 that is divisible by both numbers.

Least Common Multiple (LCM) of 7012 and 7018 is 24605108.

LCM(7012,7018) = 24605108

LCM of 7012 and 7018

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

LCM of:
and

Least Common Multiple of 7012 and 7018

LCM of 7012 and 7018 is 24605108

Least common multiple can be found by multiplying the highest exponent prime factors of 7012 and 7018. First we will calculate the prime factors of 7012 and 7018.

Prime Factorization of 7012


2 7012
2 3506
1753 1753
1

Prime factors of 7012 are 2,1753. Prime factorization of 7012 in exponential form is:

7012 = 22×17531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7012 and 7018.

LCM(7012,7018) = 22×112×291×17531
LCM(7012,7018) = 24605108

Factors of 7012

List of positive integer factors of 7012 that divides 7012 without a remainder.

1, 2, 4, 1753, 3506, 7012

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

Least Common Multiple of 7012 and 7018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7012 and 7018, than apply into the LCM equation.

GCF(7012,7018) = 2
LCM(7012,7018) = ( 7012 × 7018) / 2
LCM(7012,7018) = 49210216 / 2
LCM(7012,7018) = 24605108

Properties of LCM 7012 and 7018

(i) The LCM of 7018 and 7012 is associative

LCM of 7012 and 7018 = LCM of 7018 and 7012

Related Least Common Multiples of 7012

Related Least Common Multiples of 7018

Frequently Asked Questions on LCM of 7012 and 7018

1. What is the LCM of 7012 and 7018?

Answer: LCM of 7012 and 7018 is 24605108.

2. What are the Factors of 7012?

Answer: Factors of 7012 are 1, 2, 4, 1753, 3506, 7012. There are 6 integers that are factors of 7012. The greatest factor of 7012 is 7012.

3. 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.

4. How to Find the LCM of 7012 and 7018?

Answer:

Least Common Multiple of 7012 and 7018 = 24605108

Step 1: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

Step 2: Find the prime factorization of 7018

7018 = 2 x 11 x 11 x 29

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

LCM = 24605108 = 2 x 2 x 11 x 11 x 29 x 1753

Step 4: Therefore, the least common multiple of 7012 and 7018 is 24605108.