Least Common Multiple of 7016 and 7021

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 7021 the smallest integer that is 49259336 that is divisible by both numbers.

Least Common Multiple (LCM) of 7016 and 7021 is 49259336.

LCM(7016,7021) = 49259336

LCM of 7016 and 7021

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

LCM of:
and

Least Common Multiple of 7016 and 7021

LCM of 7016 and 7021 is 49259336

Least common multiple can be found by multiplying the highest exponent prime factors of 7016 and 7021. First we will calculate the prime factors of 7016 and 7021.

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 7021


7 7021
17 1003
59 59
1

Prime factors of 7021 are 7, 17,59. Prime factorization of 7021 in exponential form is:

7021 = 71×171×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7016 and 7021.

LCM(7016,7021) = 23×71×171×591×8771
LCM(7016,7021) = 49259336

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 7021

List of positive integer factors of 7021 that divides 7021 without a remainder.

1, 7, 17, 59, 119, 413, 1003, 7021

Least Common Multiple of 7016 and 7021 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 7021, than apply into the LCM equation.

GCF(7016,7021) = 1
LCM(7016,7021) = ( 7016 × 7021) / 1
LCM(7016,7021) = 49259336 / 1
LCM(7016,7021) = 49259336

Properties of LCM 7016 and 7021

(i) The LCM of 7021 and 7016 is associative

LCM of 7016 and 7021 = LCM of 7021 and 7016

Related Least Common Multiples of 7016

Related Least Common Multiples of 7021

Frequently Asked Questions on LCM of 7016 and 7021

1. What is the LCM of 7016 and 7021?

Answer: LCM of 7016 and 7021 is 49259336.

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 7021?

Answer: Factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021. There are 8 integers that are factors of 7021. The greatest factor of 7021 is 7021.

4. How to Find the LCM of 7016 and 7021?

Answer:

Least Common Multiple of 7016 and 7021 = 49259336

Step 1: Find the prime factorization of 7016

7016 = 2 x 2 x 2 x 877

Step 2: Find the prime factorization of 7021

7021 = 7 x 17 x 59

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

LCM = 49259336 = 2 x 2 x 2 x 7 x 17 x 59 x 877

Step 4: Therefore, the least common multiple of 7016 and 7021 is 49259336.