Least Common Multiple of 4028 and 4029
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4028 and 4029 the smallest integer that is 16228812 that is divisible by both numbers.
Least Common Multiple (LCM) of 4028 and 4029 is 16228812.
LCM(4028,4029) = 16228812
LCM of 4028 and 4029
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4028 and 4029 by Prime method
- Least Common Multiple of 4028 and 4029 with GCF Formula
LCM of 4028 and 4029 is 16228812
Least common multiple can be found by multiplying the highest exponent prime factors of 4028 and 4029. First we will calculate the prime factors of 4028 and 4029.
Prime Factorization of 4028
| 2 | 4028 |
| 2 | 2014 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 4028 are 2, 19,53. Prime factorization of 4028 in exponential form is:
4028 = 22×191×531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4028 and 4029.
LCM(4028,4029) = 22×31×171×191×531×791
LCM(4028,4029) = 16228812
Factors of 4028
List of positive integer factors of 4028 that divides 4028 without a remainder.
1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028
Factors of 4029
List of positive integer factors of 4029 that divides 4029 without a remainder.
1, 3, 17, 51, 79, 237, 1343, 4029
Least Common Multiple of 4028 and 4029 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4028 and 4029, than apply into the LCM equation.
GCF(4028,4029) = 1
LCM(4028,4029) = ( 4028 × 4029) / 1
LCM(4028,4029) = 16228812 / 1
LCM(4028,4029) = 16228812
Properties of LCM 4028 and 4029
(i) The LCM of 4029 and 4028 is associative
LCM of 4028 and 4029 = LCM of 4029 and 4028
Related Least Common Multiples of 4028
Related Least Common Multiples of 4029
Frequently Asked Questions on LCM of 4028 and 4029
1. What is the LCM of 4028 and 4029?
Answer: LCM of 4028 and 4029 is 16228812.
2. What are the Factors of 4028?
Answer: Factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028. There are 12 integers that are factors of 4028. The greatest factor of 4028 is 4028.
3. 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.
4. How to Find the LCM of 4028 and 4029?
Answer:
Least Common Multiple of 4028 and 4029 = 16228812
Step 1: Find the prime factorization of 4028
4028 = 2 x 2 x 19 x 53
Step 2: Find the prime factorization of 4029
4029 = 3 x 17 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16228812 = 2 x 2 x 3 x 17 x 19 x 53 x 79
Step 4: Therefore, the least common multiple of 4028 and 4029 is 16228812.