Least Common Multiple of 4030 and 4034
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4030 and 4034 the smallest integer that is 8128510 that is divisible by both numbers.
Least Common Multiple (LCM) of 4030 and 4034 is 8128510.
LCM(4030,4034) = 8128510
LCM of 4030 and 4034
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4030 and 4034 by Prime method
- Least Common Multiple of 4030 and 4034 with GCF Formula
LCM of 4030 and 4034 is 8128510
Least common multiple can be found by multiplying the highest exponent prime factors of 4030 and 4034. First we will calculate the prime factors of 4030 and 4034.
Prime Factorization of 4030
| 2 | 4030 |
| 5 | 2015 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 4030 are 2, 5, 13,31. Prime factorization of 4030 in exponential form is:
4030 = 21×51×131×311
Prime Factorization of 4034
| 2 | 4034 |
| 2017 | 2017 |
| 1 |
Prime factors of 4034 are 2,2017. Prime factorization of 4034 in exponential form is:
4034 = 21×20171
Now multiplying the highest exponent prime factors to calculate the LCM of 4030 and 4034.
LCM(4030,4034) = 21×51×131×311×20171
LCM(4030,4034) = 8128510
Factors of 4030
List of positive integer factors of 4030 that divides 4030 without a remainder.
1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030
Factors of 4034
List of positive integer factors of 4034 that divides 4034 without a remainder.
1, 2, 2017, 4034
Least Common Multiple of 4030 and 4034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4030 and 4034, than apply into the LCM equation.
GCF(4030,4034) = 2
LCM(4030,4034) = ( 4030 × 4034) / 2
LCM(4030,4034) = 16257020 / 2
LCM(4030,4034) = 8128510
Properties of LCM 4030 and 4034
(i) The LCM of 4034 and 4030 is associative
LCM of 4030 and 4034 = LCM of 4034 and 4030
Related Least Common Multiples of 4030
Related Least Common Multiples of 4034
Frequently Asked Questions on LCM of 4030 and 4034
1. What is the LCM of 4030 and 4034?
Answer: LCM of 4030 and 4034 is 8128510.
2. What are the Factors of 4030?
Answer: Factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030. There are 16 integers that are factors of 4030. The greatest factor of 4030 is 4030.
3. What are the Factors of 4034?
Answer: Factors of 4034 are 1, 2, 2017, 4034. There are 4 integers that are factors of 4034. The greatest factor of 4034 is 4034.
4. How to Find the LCM of 4030 and 4034?
Answer:
Least Common Multiple of 4030 and 4034 = 8128510
Step 1: Find the prime factorization of 4030
4030 = 2 x 5 x 13 x 31
Step 2: Find the prime factorization of 4034
4034 = 2 x 2017
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8128510 = 2 x 5 x 13 x 31 x 2017
Step 4: Therefore, the least common multiple of 4030 and 4034 is 8128510.