Least Common Multiple of 7014 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 7014 and 7021 the smallest integer that is 7035042 that is divisible by both numbers.
Least Common Multiple (LCM) of 7014 and 7021 is 7035042.
LCM(7014,7021) = 7035042
LCM of 7014 and 7021
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7014 and 7021 by Prime method
- Least Common Multiple of 7014 and 7021 with GCF Formula
LCM of 7014 and 7021 is 7035042
Least common multiple can be found by multiplying the highest exponent prime factors of 7014 and 7021. First we will calculate the prime factors of 7014 and 7021.
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 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 7014 and 7021.
LCM(7014,7021) = 21×31×71×171×591×1671
LCM(7014,7021) = 7035042
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 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 7014 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 7014 and 7021, than apply into the LCM equation.
GCF(7014,7021) = 7
LCM(7014,7021) = ( 7014 × 7021) / 7
LCM(7014,7021) = 49245294 / 7
LCM(7014,7021) = 7035042
Properties of LCM 7014 and 7021
(i) The LCM of 7021 and 7014 is associative
LCM of 7014 and 7021 = LCM of 7021 and 7014
Related Least Common Multiples of 7014
Related Least Common Multiples of 7021
Frequently Asked Questions on LCM of 7014 and 7021
1. What is the LCM of 7014 and 7021?
Answer: LCM of 7014 and 7021 is 7035042.
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 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 7014 and 7021?
Answer:
Least Common Multiple of 7014 and 7021 = 7035042
Step 1: Find the prime factorization of 7014
7014 = 2 x 3 x 7 x 167
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 = 7035042 = 2 x 3 x 7 x 17 x 59 x 167
Step 4: Therefore, the least common multiple of 7014 and 7021 is 7035042.