Least Common Multiple of 29007 and 29015
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 29007 and 29015 the smallest integer that is 841638105 that is divisible by both numbers.
Least Common Multiple (LCM) of 29007 and 29015 is 841638105.
LCM(29007,29015) = 841638105
LCM of 29007 and 29015
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 29007 and 29015 by Prime method
- Least Common Multiple of 29007 and 29015 with GCF Formula
LCM of 29007 and 29015 is 841638105
Least common multiple can be found by multiplying the highest exponent prime factors of 29007 and 29015. First we will calculate the prime factors of 29007 and 29015.
Prime Factorization of 29007
| 3 | 29007 |
| 3 | 9669 |
| 11 | 3223 |
| 293 | 293 |
| 1 |
Prime factors of 29007 are 3, 11,293. Prime factorization of 29007 in exponential form is:
29007 = 32×111×2931
Prime Factorization of 29015
| 5 | 29015 |
| 7 | 5803 |
| 829 | 829 |
| 1 |
Prime factors of 29015 are 5, 7,829. Prime factorization of 29015 in exponential form is:
29015 = 51×71×8291
Now multiplying the highest exponent prime factors to calculate the LCM of 29007 and 29015.
LCM(29007,29015) = 32×51×71×111×2931×8291
LCM(29007,29015) = 841638105
Factors of 29007
List of positive integer factors of 29007 that divides 29007 without a remainder.
1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669, 29007
Factors of 29015
List of positive integer factors of 29015 that divides 29015 without a remainder.
1, 5, 7, 35, 829, 4145, 5803, 29015
Least Common Multiple of 29007 and 29015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29007 and 29015, than apply into the LCM equation.
GCF(29007,29015) = 1
LCM(29007,29015) = ( 29007 × 29015) / 1
LCM(29007,29015) = 841638105 / 1
LCM(29007,29015) = 841638105
Properties of LCM 29007 and 29015
(i) The LCM of 29015 and 29007 is associative
LCM of 29007 and 29015 = LCM of 29015 and 29007
Related Least Common Multiples of 29007
Related Least Common Multiples of 29015
Frequently Asked Questions on LCM of 29007 and 29015
1. What is the LCM of 29007 and 29015?
Answer: LCM of 29007 and 29015 is 841638105.
2. What are the Factors of 29007?
Answer: Factors of 29007 are 1, 3, 9, 11, 33, 99, 293, 879, 2637, 3223, 9669, 29007. There are 12 integers that are factors of 29007. The greatest factor of 29007 is 29007.
3. What are the Factors of 29015?
Answer: Factors of 29015 are 1, 5, 7, 35, 829, 4145, 5803, 29015. There are 8 integers that are factors of 29015. The greatest factor of 29015 is 29015.
4. How to Find the LCM of 29007 and 29015?
Answer:
Least Common Multiple of 29007 and 29015 = 841638105
Step 1: Find the prime factorization of 29007
29007 = 3 x 3 x 11 x 293
Step 2: Find the prime factorization of 29015
29015 = 5 x 7 x 829
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 841638105 = 3 x 3 x 5 x 7 x 11 x 293 x 829
Step 4: Therefore, the least common multiple of 29007 and 29015 is 841638105.