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 7020 the smallest integer that is 12313080 that is divisible by both numbers.
Least Common Multiple (LCM) of 7016 and 7020 is 12313080.
LCM(7016,7020) = 12313080
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7016 and 7020. First we will calculate the prime factors of 7016 and 7020.
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 7020
2 | 7020 |
2 | 3510 |
3 | 1755 |
3 | 585 |
3 | 195 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 7020 are 2, 3, 5,13. Prime factorization of 7020 in exponential form is:
7020 = 22×33×51×131
Now multiplying the highest exponent prime factors to calculate the LCM of 7016 and 7020.
LCM(7016,7020) = 23×33×51×131×8771
LCM(7016,7020) = 12313080
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 7020
List of positive integer factors of 7020 that divides 7020 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7016 and 7020, than apply into the LCM equation.
GCF(7016,7020) = 4
LCM(7016,7020) = ( 7016 × 7020) / 4
LCM(7016,7020) = 49252320 / 4
LCM(7016,7020) = 12313080
(i) The LCM of 7020 and 7016 is associative
LCM of 7016 and 7020 = LCM of 7020 and 7016
1. What is the LCM of 7016 and 7020?
Answer: LCM of 7016 and 7020 is 12313080.
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 7020?
Answer: Factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020. There are 48 integers that are factors of 7020. The greatest factor of 7020 is 7020.
4. How to Find the LCM of 7016 and 7020?
Answer:
Least Common Multiple of 7016 and 7020 = 12313080
Step 1: Find the prime factorization of 7016
7016 = 2 x 2 x 2 x 877
Step 2: Find the prime factorization of 7020
7020 = 2 x 2 x 3 x 3 x 3 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12313080 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 877
Step 4: Therefore, the least common multiple of 7016 and 7020 is 12313080.