Least Common Multiple of 4029 and 4033
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4029 and 4033 the smallest integer that is 16248957 that is divisible by both numbers.
Least Common Multiple (LCM) of 4029 and 4033 is 16248957.
LCM(4029,4033) = 16248957
LCM of 4029 and 4033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4029 and 4033 by Prime method
- Least Common Multiple of 4029 and 4033 with GCF Formula
LCM of 4029 and 4033 is 16248957
Least common multiple can be found by multiplying the highest exponent prime factors of 4029 and 4033. First we will calculate the prime factors of 4029 and 4033.
Prime Factorization of 4029
| 3 | 4029 |
| 17 | 1343 |
| 79 | 79 |
| 1 |
Prime factors of 4029 are 3, 17,79. Prime factorization of 4029 in exponential form is:
4029 = 31×171×791
Prime Factorization of 4033
| 37 | 4033 |
| 109 | 109 |
| 1 |
Prime factors of 4033 are 37,109. Prime factorization of 4033 in exponential form is:
4033 = 371×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 4029 and 4033.
LCM(4029,4033) = 31×171×371×791×1091
LCM(4029,4033) = 16248957
Factors of 4029
List of positive integer factors of 4029 that divides 4029 without a remainder.
1, 3, 17, 51, 79, 237, 1343, 4029
Factors of 4033
List of positive integer factors of 4033 that divides 4033 without a remainder.
1, 37, 109, 4033
Least Common Multiple of 4029 and 4033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4029 and 4033, than apply into the LCM equation.
GCF(4029,4033) = 1
LCM(4029,4033) = ( 4029 × 4033) / 1
LCM(4029,4033) = 16248957 / 1
LCM(4029,4033) = 16248957
Properties of LCM 4029 and 4033
(i) The LCM of 4033 and 4029 is associative
LCM of 4029 and 4033 = LCM of 4033 and 4029
Related Least Common Multiples of 4029
Related Least Common Multiples of 4033
Frequently Asked Questions on LCM of 4029 and 4033
1. What is the LCM of 4029 and 4033?
Answer: LCM of 4029 and 4033 is 16248957.
2. What are the Factors of 4029?
Answer: Factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029. There are 8 integers that are factors of 4029. The greatest factor of 4029 is 4029.
3. What are the Factors of 4033?
Answer: Factors of 4033 are 1, 37, 109, 4033. There are 4 integers that are factors of 4033. The greatest factor of 4033 is 4033.
4. How to Find the LCM of 4029 and 4033?
Answer:
Least Common Multiple of 4029 and 4033 = 16248957
Step 1: Find the prime factorization of 4029
4029 = 3 x 17 x 79
Step 2: Find the prime factorization of 4033
4033 = 37 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16248957 = 3 x 17 x 37 x 79 x 109
Step 4: Therefore, the least common multiple of 4029 and 4033 is 16248957.