Least Common Multiple of 29029 and 29037
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 29029 and 29037 the smallest integer that is 842915073 that is divisible by both numbers.
Least Common Multiple (LCM) of 29029 and 29037 is 842915073.
LCM(29029,29037) = 842915073
LCM of 29029 and 29037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 29029 and 29037 by Prime method
- Least Common Multiple of 29029 and 29037 with GCF Formula
LCM of 29029 and 29037 is 842915073
Least common multiple can be found by multiplying the highest exponent prime factors of 29029 and 29037. First we will calculate the prime factors of 29029 and 29037.
Prime Factorization of 29029
| 7 | 29029 |
| 11 | 4147 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 29029 are 7, 11, 13,29. Prime factorization of 29029 in exponential form is:
29029 = 71×111×131×291
Prime Factorization of 29037
| 3 | 29037 |
| 9679 | 9679 |
| 1 |
Prime factors of 29037 are 3,9679. Prime factorization of 29037 in exponential form is:
29037 = 31×96791
Now multiplying the highest exponent prime factors to calculate the LCM of 29029 and 29037.
LCM(29029,29037) = 31×71×111×131×291×96791
LCM(29029,29037) = 842915073
Factors of 29029
List of positive integer factors of 29029 that divides 29029 without a remainder.
1, 7, 11, 13, 29, 77, 91, 143, 203, 319, 377, 1001, 2233, 2639, 4147, 29029
Factors of 29037
List of positive integer factors of 29037 that divides 29037 without a remainder.
1, 3, 9679, 29037
Least Common Multiple of 29029 and 29037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29029 and 29037, than apply into the LCM equation.
GCF(29029,29037) = 1
LCM(29029,29037) = ( 29029 × 29037) / 1
LCM(29029,29037) = 842915073 / 1
LCM(29029,29037) = 842915073
Properties of LCM 29029 and 29037
(i) The LCM of 29037 and 29029 is associative
LCM of 29029 and 29037 = LCM of 29037 and 29029
Related Least Common Multiples of 29029
Related Least Common Multiples of 29037
Frequently Asked Questions on LCM of 29029 and 29037
1. What is the LCM of 29029 and 29037?
Answer: LCM of 29029 and 29037 is 842915073.
2. What are the Factors of 29029?
Answer: Factors of 29029 are 1, 7, 11, 13, 29, 77, 91, 143, 203, 319, 377, 1001, 2233, 2639, 4147, 29029. There are 16 integers that are factors of 29029. The greatest factor of 29029 is 29029.
3. What are the Factors of 29037?
Answer: Factors of 29037 are 1, 3, 9679, 29037. There are 4 integers that are factors of 29037. The greatest factor of 29037 is 29037.
4. How to Find the LCM of 29029 and 29037?
Answer:
Least Common Multiple of 29029 and 29037 = 842915073
Step 1: Find the prime factorization of 29029
29029 = 7 x 11 x 13 x 29
Step 2: Find the prime factorization of 29037
29037 = 3 x 9679
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 842915073 = 3 x 7 x 11 x 13 x 29 x 9679
Step 4: Therefore, the least common multiple of 29029 and 29037 is 842915073.