Least Common Multiple of 29029 and 29033
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 29033 the smallest integer that is 842798957 that is divisible by both numbers.
Least Common Multiple (LCM) of 29029 and 29033 is 842798957.
LCM(29029,29033) = 842798957
LCM of 29029 and 29033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 29029 and 29033 by Prime method
- Least Common Multiple of 29029 and 29033 with GCF Formula
LCM of 29029 and 29033 is 842798957
Least common multiple can be found by multiplying the highest exponent prime factors of 29029 and 29033. First we will calculate the prime factors of 29029 and 29033.
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 29033
| 29033 | 29033 |
| 1 |
Prime factors of 29033 are 29033. Prime factorization of 29033 in exponential form is:
29033 = 290331
Now multiplying the highest exponent prime factors to calculate the LCM of 29029 and 29033.
LCM(29029,29033) = 71×111×131×291×290331
LCM(29029,29033) = 842798957
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 29033
List of positive integer factors of 29033 that divides 29033 without a remainder.
1, 29033
Least Common Multiple of 29029 and 29033 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 29033, than apply into the LCM equation.
GCF(29029,29033) = 1
LCM(29029,29033) = ( 29029 × 29033) / 1
LCM(29029,29033) = 842798957 / 1
LCM(29029,29033) = 842798957
Properties of LCM 29029 and 29033
(i) The LCM of 29033 and 29029 is associative
LCM of 29029 and 29033 = LCM of 29033 and 29029
Related Least Common Multiples of 29029
Related Least Common Multiples of 29033
Frequently Asked Questions on LCM of 29029 and 29033
1. What is the LCM of 29029 and 29033?
Answer: LCM of 29029 and 29033 is 842798957.
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 29033?
Answer: Factors of 29033 are 1, 29033. There are 2 integers that are factors of 29033. The greatest factor of 29033 is 29033.
4. How to Find the LCM of 29029 and 29033?
Answer:
Least Common Multiple of 29029 and 29033 = 842798957
Step 1: Find the prime factorization of 29029
29029 = 7 x 11 x 13 x 29
Step 2: Find the prime factorization of 29033
29033 = 29033
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 842798957 = 7 x 11 x 13 x 29 x 29033
Step 4: Therefore, the least common multiple of 29029 and 29033 is 842798957.