Least Common Multiple of 3034 and 3039
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3034 and 3039 the smallest integer that is 9220326 that is divisible by both numbers.
Least Common Multiple (LCM) of 3034 and 3039 is 9220326.
LCM(3034,3039) = 9220326
LCM of 3034 and 3039
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3034 and 3039 by Prime method
- Least Common Multiple of 3034 and 3039 with GCF Formula
LCM of 3034 and 3039 is 9220326
Least common multiple can be found by multiplying the highest exponent prime factors of 3034 and 3039. First we will calculate the prime factors of 3034 and 3039.
Prime Factorization of 3034
| 2 | 3034 |
| 37 | 1517 |
| 41 | 41 |
| 1 |
Prime factors of 3034 are 2, 37,41. Prime factorization of 3034 in exponential form is:
3034 = 21×371×411
Prime Factorization of 3039
| 3 | 3039 |
| 1013 | 1013 |
| 1 |
Prime factors of 3039 are 3,1013. Prime factorization of 3039 in exponential form is:
3039 = 31×10131
Now multiplying the highest exponent prime factors to calculate the LCM of 3034 and 3039.
LCM(3034,3039) = 21×31×371×411×10131
LCM(3034,3039) = 9220326
Factors of 3034
List of positive integer factors of 3034 that divides 3034 without a remainder.
1, 2, 37, 41, 74, 82, 1517, 3034
Factors of 3039
List of positive integer factors of 3039 that divides 3039 without a remainder.
1, 3, 1013, 3039
Least Common Multiple of 3034 and 3039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3034 and 3039, than apply into the LCM equation.
GCF(3034,3039) = 1
LCM(3034,3039) = ( 3034 × 3039) / 1
LCM(3034,3039) = 9220326 / 1
LCM(3034,3039) = 9220326
Properties of LCM 3034 and 3039
(i) The LCM of 3039 and 3034 is associative
LCM of 3034 and 3039 = LCM of 3039 and 3034
Related Least Common Multiples of 3034
Related Least Common Multiples of 3039
Frequently Asked Questions on LCM of 3034 and 3039
1. What is the LCM of 3034 and 3039?
Answer: LCM of 3034 and 3039 is 9220326.
2. What are the Factors of 3034?
Answer: Factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034. There are 8 integers that are factors of 3034. The greatest factor of 3034 is 3034.
3. What are the Factors of 3039?
Answer: Factors of 3039 are 1, 3, 1013, 3039. There are 4 integers that are factors of 3039. The greatest factor of 3039 is 3039.
4. How to Find the LCM of 3034 and 3039?
Answer:
Least Common Multiple of 3034 and 3039 = 9220326
Step 1: Find the prime factorization of 3034
3034 = 2 x 37 x 41
Step 2: Find the prime factorization of 3039
3039 = 3 x 1013
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9220326 = 2 x 3 x 37 x 41 x 1013
Step 4: Therefore, the least common multiple of 3034 and 3039 is 9220326.