Least Common Multiple of 29009 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 29009 and 29014 the smallest integer that is 841667126 that is divisible by both numbers.
Least Common Multiple (LCM) of 29009 and 29014 is 841667126.
LCM(29009,29014) = 841667126
LCM of 29009 and 29014
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 29009 and 29014 by Prime method
- Least Common Multiple of 29009 and 29014 with GCF Formula
LCM of 29009 and 29014 is 841667126
Least common multiple can be found by multiplying the highest exponent prime factors of 29009 and 29014. First we will calculate the prime factors of 29009 and 29014.
Prime Factorization of 29009
| 29009 | 29009 |
| 1 |
Prime factors of 29009 are 29009. Prime factorization of 29009 in exponential form is:
29009 = 290091
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 29009 and 29014.
LCM(29009,29014) = 21×891×1631×290091
LCM(29009,29014) = 841667126
Factors of 29009
List of positive integer factors of 29009 that divides 29009 without a remainder.
1, 29009
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 29009 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 29009 and 29014, than apply into the LCM equation.
GCF(29009,29014) = 1
LCM(29009,29014) = ( 29009 × 29014) / 1
LCM(29009,29014) = 841667126 / 1
LCM(29009,29014) = 841667126
Properties of LCM 29009 and 29014
(i) The LCM of 29014 and 29009 is associative
LCM of 29009 and 29014 = LCM of 29014 and 29009
Related Least Common Multiples of 29009
Related Least Common Multiples of 29014
Frequently Asked Questions on LCM of 29009 and 29014
1. What is the LCM of 29009 and 29014?
Answer: LCM of 29009 and 29014 is 841667126.
2. What are the Factors of 29009?
Answer: Factors of 29009 are 1, 29009. There are 2 integers that are factors of 29009. The greatest factor of 29009 is 29009.
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 29009 and 29014?
Answer:
Least Common Multiple of 29009 and 29014 = 841667126
Step 1: Find the prime factorization of 29009
29009 = 29009
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 = 841667126 = 2 x 89 x 163 x 29009
Step 4: Therefore, the least common multiple of 29009 and 29014 is 841667126.