Least Common Multiple of 7014 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 7014 and 7018 the smallest integer that is 24612126 that is divisible by both numbers.

Least Common Multiple (LCM) of 7014 and 7018 is 24612126.

LCM(7014,7018) = 24612126

LCM of 7014 and 7018

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

LCM of:
and

Least Common Multiple of 7014 and 7018

LCM of 7014 and 7018 is 24612126

Least common multiple can be found by multiplying the highest exponent prime factors of 7014 and 7018. First we will calculate the prime factors of 7014 and 7018.

Prime Factorization of 7014


2 7014
3 3507
7 1169
167 167
1

Prime factors of 7014 are 2, 3, 7,167. Prime factorization of 7014 in exponential form is:

7014 = 21×31×71×1671

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 7014 and 7018.

LCM(7014,7018) = 21×31×71×112×291×1671
LCM(7014,7018) = 24612126

Factors of 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014

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 7014 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 7014 and 7018, than apply into the LCM equation.

GCF(7014,7018) = 2
LCM(7014,7018) = ( 7014 × 7018) / 2
LCM(7014,7018) = 49224252 / 2
LCM(7014,7018) = 24612126

Properties of LCM 7014 and 7018

(i) The LCM of 7018 and 7014 is associative

LCM of 7014 and 7018 = LCM of 7018 and 7014

Related Least Common Multiples of 7014

Related Least Common Multiples of 7018

Frequently Asked Questions on LCM of 7014 and 7018

1. What is the LCM of 7014 and 7018?

Answer: LCM of 7014 and 7018 is 24612126.

2. What are the Factors of 7014?

Answer: Factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014. There are 16 integers that are factors of 7014. The greatest factor of 7014 is 7014.

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 7014 and 7018?

Answer:

Least Common Multiple of 7014 and 7018 = 24612126

Step 1: Find the prime factorization of 7014

7014 = 2 x 3 x 7 x 167

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 = 24612126 = 2 x 3 x 7 x 11 x 11 x 29 x 167

Step 4: Therefore, the least common multiple of 7014 and 7018 is 24612126.