Least Common Multiple of 7009 and 7014
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7009 and 7014 the smallest integer that is 49161126 that is divisible by both numbers.
Least Common Multiple (LCM) of 7009 and 7014 is 49161126.
LCM(7009,7014) = 49161126
LCM of 7009 and 7014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7009 and 7014 by Prime method
- Least Common Multiple of 7009 and 7014 with GCF Formula
LCM of 7009 and 7014 is 49161126
Least common multiple can be found by multiplying the highest exponent prime factors of 7009 and 7014. First we will calculate the prime factors of 7009 and 7014.
Prime Factorization of 7009
| 43 | 7009 |
| 163 | 163 |
| 1 |
Prime factors of 7009 are 43,163. Prime factorization of 7009 in exponential form is:
7009 = 431×1631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7009 and 7014.
LCM(7009,7014) = 21×31×71×431×1631×1671
LCM(7009,7014) = 49161126
Factors of 7009
List of positive integer factors of 7009 that divides 7009 without a remainder.
1, 43, 163, 7009
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
Least Common Multiple of 7009 and 7014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7009 and 7014, than apply into the LCM equation.
GCF(7009,7014) = 1
LCM(7009,7014) = ( 7009 × 7014) / 1
LCM(7009,7014) = 49161126 / 1
LCM(7009,7014) = 49161126
Properties of LCM 7009 and 7014
(i) The LCM of 7014 and 7009 is associative
LCM of 7009 and 7014 = LCM of 7014 and 7009
Related Least Common Multiples of 7009
Related Least Common Multiples of 7014
Frequently Asked Questions on LCM of 7009 and 7014
1. What is the LCM of 7009 and 7014?
Answer: LCM of 7009 and 7014 is 49161126.
2. What are the Factors of 7009?
Answer: Factors of 7009 are 1, 43, 163, 7009. There are 4 integers that are factors of 7009. The greatest factor of 7009 is 7009.
3. 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.
4. How to Find the LCM of 7009 and 7014?
Answer:
Least Common Multiple of 7009 and 7014 = 49161126
Step 1: Find the prime factorization of 7009
7009 = 43 x 163
Step 2: Find the prime factorization of 7014
7014 = 2 x 3 x 7 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49161126 = 2 x 3 x 7 x 43 x 163 x 167
Step 4: Therefore, the least common multiple of 7009 and 7014 is 49161126.