Least Common Multiple of 7009 and 7015
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 7015 the smallest integer that is 49168135 that is divisible by both numbers.
Least Common Multiple (LCM) of 7009 and 7015 is 49168135.
LCM(7009,7015) = 49168135
LCM of 7009 and 7015
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7009 and 7015 by Prime method
- Least Common Multiple of 7009 and 7015 with GCF Formula
LCM of 7009 and 7015 is 49168135
Least common multiple can be found by multiplying the highest exponent prime factors of 7009 and 7015. First we will calculate the prime factors of 7009 and 7015.
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 7015
| 5 | 7015 |
| 23 | 1403 |
| 61 | 61 |
| 1 |
Prime factors of 7015 are 5, 23,61. Prime factorization of 7015 in exponential form is:
7015 = 51×231×611
Now multiplying the highest exponent prime factors to calculate the LCM of 7009 and 7015.
LCM(7009,7015) = 51×231×431×611×1631
LCM(7009,7015) = 49168135
Factors of 7009
List of positive integer factors of 7009 that divides 7009 without a remainder.
1, 43, 163, 7009
Factors of 7015
List of positive integer factors of 7015 that divides 7015 without a remainder.
1, 5, 23, 61, 115, 305, 1403, 7015
Least Common Multiple of 7009 and 7015 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 7015, than apply into the LCM equation.
GCF(7009,7015) = 1
LCM(7009,7015) = ( 7009 × 7015) / 1
LCM(7009,7015) = 49168135 / 1
LCM(7009,7015) = 49168135
Properties of LCM 7009 and 7015
(i) The LCM of 7015 and 7009 is associative
LCM of 7009 and 7015 = LCM of 7015 and 7009
Related Least Common Multiples of 7009
Related Least Common Multiples of 7015
Frequently Asked Questions on LCM of 7009 and 7015
1. What is the LCM of 7009 and 7015?
Answer: LCM of 7009 and 7015 is 49168135.
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 7015?
Answer: Factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015. There are 8 integers that are factors of 7015. The greatest factor of 7015 is 7015.
4. How to Find the LCM of 7009 and 7015?
Answer:
Least Common Multiple of 7009 and 7015 = 49168135
Step 1: Find the prime factorization of 7009
7009 = 43 x 163
Step 2: Find the prime factorization of 7015
7015 = 5 x 23 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49168135 = 5 x 23 x 43 x 61 x 163
Step 4: Therefore, the least common multiple of 7009 and 7015 is 49168135.