Least Common Multiple of 7009 and 7017
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 7017 the smallest integer that is 49182153 that is divisible by both numbers.
Least Common Multiple (LCM) of 7009 and 7017 is 49182153.
LCM(7009,7017) = 49182153
LCM of 7009 and 7017
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7009 and 7017 by Prime method
- Least Common Multiple of 7009 and 7017 with GCF Formula
LCM of 7009 and 7017 is 49182153
Least common multiple can be found by multiplying the highest exponent prime factors of 7009 and 7017. First we will calculate the prime factors of 7009 and 7017.
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 7017
| 3 | 7017 |
| 2339 | 2339 |
| 1 |
Prime factors of 7017 are 3,2339. Prime factorization of 7017 in exponential form is:
7017 = 31×23391
Now multiplying the highest exponent prime factors to calculate the LCM of 7009 and 7017.
LCM(7009,7017) = 31×431×1631×23391
LCM(7009,7017) = 49182153
Factors of 7009
List of positive integer factors of 7009 that divides 7009 without a remainder.
1, 43, 163, 7009
Factors of 7017
List of positive integer factors of 7017 that divides 7017 without a remainder.
1, 3, 2339, 7017
Least Common Multiple of 7009 and 7017 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 7017, than apply into the LCM equation.
GCF(7009,7017) = 1
LCM(7009,7017) = ( 7009 × 7017) / 1
LCM(7009,7017) = 49182153 / 1
LCM(7009,7017) = 49182153
Properties of LCM 7009 and 7017
(i) The LCM of 7017 and 7009 is associative
LCM of 7009 and 7017 = LCM of 7017 and 7009
Related Least Common Multiples of 7009
Related Least Common Multiples of 7017
Frequently Asked Questions on LCM of 7009 and 7017
1. What is the LCM of 7009 and 7017?
Answer: LCM of 7009 and 7017 is 49182153.
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 7017?
Answer: Factors of 7017 are 1, 3, 2339, 7017. There are 4 integers that are factors of 7017. The greatest factor of 7017 is 7017.
4. How to Find the LCM of 7009 and 7017?
Answer:
Least Common Multiple of 7009 and 7017 = 49182153
Step 1: Find the prime factorization of 7009
7009 = 43 x 163
Step 2: Find the prime factorization of 7017
7017 = 3 x 2339
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49182153 = 3 x 43 x 163 x 2339
Step 4: Therefore, the least common multiple of 7009 and 7017 is 49182153.