Least Common Multiple of 7014 and 7022

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 7022 the smallest integer that is 24626154 that is divisible by both numbers.

Least Common Multiple (LCM) of 7014 and 7022 is 24626154.

LCM(7014,7022) = 24626154

LCM of 7014 and 7022

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

LCM of:
and

Least Common Multiple of 7014 and 7022

LCM of 7014 and 7022 is 24626154

Least common multiple can be found by multiplying the highest exponent prime factors of 7014 and 7022. First we will calculate the prime factors of 7014 and 7022.

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 7022


2 7022
3511 3511
1

Prime factors of 7022 are 2,3511. Prime factorization of 7022 in exponential form is:

7022 = 21×35111

Now multiplying the highest exponent prime factors to calculate the LCM of 7014 and 7022.

LCM(7014,7022) = 21×31×71×1671×35111
LCM(7014,7022) = 24626154

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 7022

List of positive integer factors of 7022 that divides 7022 without a remainder.

1, 2, 3511, 7022

Least Common Multiple of 7014 and 7022 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 7022, than apply into the LCM equation.

GCF(7014,7022) = 2
LCM(7014,7022) = ( 7014 × 7022) / 2
LCM(7014,7022) = 49252308 / 2
LCM(7014,7022) = 24626154

Properties of LCM 7014 and 7022

(i) The LCM of 7022 and 7014 is associative

LCM of 7014 and 7022 = LCM of 7022 and 7014

Related Least Common Multiples of 7014

Related Least Common Multiples of 7022

Frequently Asked Questions on LCM of 7014 and 7022

1. What is the LCM of 7014 and 7022?

Answer: LCM of 7014 and 7022 is 24626154.

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 7022?

Answer: Factors of 7022 are 1, 2, 3511, 7022. There are 4 integers that are factors of 7022. The greatest factor of 7022 is 7022.

4. How to Find the LCM of 7014 and 7022?

Answer:

Least Common Multiple of 7014 and 7022 = 24626154

Step 1: Find the prime factorization of 7014

7014 = 2 x 3 x 7 x 167

Step 2: Find the prime factorization of 7022

7022 = 2 x 3511

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

LCM = 24626154 = 2 x 3 x 7 x 167 x 3511

Step 4: Therefore, the least common multiple of 7014 and 7022 is 24626154.