Least Common Multiple of 29007 and 29014
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 29014 the smallest integer that is 841609098 that is divisible by both numbers.
Least Common Multiple (LCM) of 29007 and 29014 is 841609098.
LCM(29007,29014) = 841609098
LCM of 29007 and 29014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 29007 and 29014 by Prime method
- Least Common Multiple of 29007 and 29014 with GCF Formula
LCM of 29007 and 29014 is 841609098
Least common multiple can be found by multiplying the highest exponent prime factors of 29007 and 29014. First we will calculate the prime factors of 29007 and 29014.
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 29014
| 2 | 29014 |
| 89 | 14507 |
| 163 | 163 |
| 1 |
Prime factors of 29014 are 2, 89,163. Prime factorization of 29014 in exponential form is:
29014 = 21×891×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 29007 and 29014.
LCM(29007,29014) = 21×32×111×891×1631×2931
LCM(29007,29014) = 841609098
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 29014
List of positive integer factors of 29014 that divides 29014 without a remainder.
1, 2, 89, 163, 178, 326, 14507, 29014
Least Common Multiple of 29007 and 29014 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 29014, than apply into the LCM equation.
GCF(29007,29014) = 1
LCM(29007,29014) = ( 29007 × 29014) / 1
LCM(29007,29014) = 841609098 / 1
LCM(29007,29014) = 841609098
Properties of LCM 29007 and 29014
(i) The LCM of 29014 and 29007 is associative
LCM of 29007 and 29014 = LCM of 29014 and 29007
Related Least Common Multiples of 29007
Related Least Common Multiples of 29014
Frequently Asked Questions on LCM of 29007 and 29014
1. What is the LCM of 29007 and 29014?
Answer: LCM of 29007 and 29014 is 841609098.
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 29014?
Answer: Factors of 29014 are 1, 2, 89, 163, 178, 326, 14507, 29014. There are 8 integers that are factors of 29014. The greatest factor of 29014 is 29014.
4. How to Find the LCM of 29007 and 29014?
Answer:
Least Common Multiple of 29007 and 29014 = 841609098
Step 1: Find the prime factorization of 29007
29007 = 3 x 3 x 11 x 293
Step 2: Find the prime factorization of 29014
29014 = 2 x 89 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 = 841609098 = 2 x 3 x 3 x 11 x 89 x 163 x 293
Step 4: Therefore, the least common multiple of 29007 and 29014 is 841609098.