Least Common Multiple of 7016 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 7016 and 7022 the smallest integer that is 24633176 that is divisible by both numbers.

Least Common Multiple (LCM) of 7016 and 7022 is 24633176.

LCM(7016,7022) = 24633176

LCM of 7016 and 7022

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

LCM of:
and

Least Common Multiple of 7016 and 7022

LCM of 7016 and 7022 is 24633176

Least common multiple can be found by multiplying the highest exponent prime factors of 7016 and 7022. First we will calculate the prime factors of 7016 and 7022.

Prime Factorization of 7016


2 7016
2 3508
2 1754
877 877
1

Prime factors of 7016 are 2,877. Prime factorization of 7016 in exponential form is:

7016 = 23×8771

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 7016 and 7022.

LCM(7016,7022) = 23×8771×35111
LCM(7016,7022) = 24633176

Factors of 7016

List of positive integer factors of 7016 that divides 7016 without a remainder.

1, 2, 4, 8, 877, 1754, 3508, 7016

Factors of 7022

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

1, 2, 3511, 7022

Least Common Multiple of 7016 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 7016 and 7022, than apply into the LCM equation.

GCF(7016,7022) = 2
LCM(7016,7022) = ( 7016 × 7022) / 2
LCM(7016,7022) = 49266352 / 2
LCM(7016,7022) = 24633176

Properties of LCM 7016 and 7022

(i) The LCM of 7022 and 7016 is associative

LCM of 7016 and 7022 = LCM of 7022 and 7016

Related Least Common Multiples of 7016

Related Least Common Multiples of 7022

Frequently Asked Questions on LCM of 7016 and 7022

1. What is the LCM of 7016 and 7022?

Answer: LCM of 7016 and 7022 is 24633176.

2. What are the Factors of 7016?

Answer: Factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016. There are 8 integers that are factors of 7016. The greatest factor of 7016 is 7016.

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 7016 and 7022?

Answer:

Least Common Multiple of 7016 and 7022 = 24633176

Step 1: Find the prime factorization of 7016

7016 = 2 x 2 x 2 x 877

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 = 24633176 = 2 x 2 x 2 x 877 x 3511

Step 4: Therefore, the least common multiple of 7016 and 7022 is 24633176.