Least Common Multiple of 7005 and 7009
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7005 and 7009 the smallest integer that is 49098045 that is divisible by both numbers.
Least Common Multiple (LCM) of 7005 and 7009 is 49098045.
LCM(7005,7009) = 49098045
LCM of 7005 and 7009
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7005 and 7009 by Prime method
- Least Common Multiple of 7005 and 7009 with GCF Formula
LCM of 7005 and 7009 is 49098045
Least common multiple can be found by multiplying the highest exponent prime factors of 7005 and 7009. First we will calculate the prime factors of 7005 and 7009.
Prime Factorization of 7005
| 3 | 7005 |
| 5 | 2335 |
| 467 | 467 |
| 1 |
Prime factors of 7005 are 3, 5,467. Prime factorization of 7005 in exponential form is:
7005 = 31×51×4671
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7005 and 7009.
LCM(7005,7009) = 31×51×431×1631×4671
LCM(7005,7009) = 49098045
Factors of 7005
List of positive integer factors of 7005 that divides 7005 without a remainder.
1, 3, 5, 15, 467, 1401, 2335, 7005
Factors of 7009
List of positive integer factors of 7009 that divides 7009 without a remainder.
1, 43, 163, 7009
Least Common Multiple of 7005 and 7009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7005 and 7009, than apply into the LCM equation.
GCF(7005,7009) = 1
LCM(7005,7009) = ( 7005 × 7009) / 1
LCM(7005,7009) = 49098045 / 1
LCM(7005,7009) = 49098045
Properties of LCM 7005 and 7009
(i) The LCM of 7009 and 7005 is associative
LCM of 7005 and 7009 = LCM of 7009 and 7005
Related Least Common Multiples of 7005
Related Least Common Multiples of 7009
Frequently Asked Questions on LCM of 7005 and 7009
1. What is the LCM of 7005 and 7009?
Answer: LCM of 7005 and 7009 is 49098045.
2. What are the Factors of 7005?
Answer: Factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005. There are 8 integers that are factors of 7005. The greatest factor of 7005 is 7005.
3. 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.
4. How to Find the LCM of 7005 and 7009?
Answer:
Least Common Multiple of 7005 and 7009 = 49098045
Step 1: Find the prime factorization of 7005
7005 = 3 x 5 x 467
Step 2: Find the prime factorization of 7009
7009 = 43 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49098045 = 3 x 5 x 43 x 163 x 467
Step 4: Therefore, the least common multiple of 7005 and 7009 is 49098045.