Least Common Multiple of 1034 and 1039
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1034 and 1039 the smallest integer that is 1074326 that is divisible by both numbers.
Least Common Multiple (LCM) of 1034 and 1039 is 1074326.
LCM(1034,1039) = 1074326
LCM of 1034 and 1039
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1034 and 1039 by Prime method
- Least Common Multiple of 1034 and 1039 with GCF Formula
LCM of 1034 and 1039 is 1074326
Least common multiple can be found by multiplying the highest exponent prime factors of 1034 and 1039. First we will calculate the prime factors of 1034 and 1039.
Prime Factorization of 1034
| 2 | 1034 |
| 11 | 517 |
| 47 | 47 |
| 1 |
Prime factors of 1034 are 2, 11,47. Prime factorization of 1034 in exponential form is:
1034 = 21×111×471
Prime Factorization of 1039
| 1039 | 1039 |
| 1 |
Prime factors of 1039 are 1039. Prime factorization of 1039 in exponential form is:
1039 = 10391
Now multiplying the highest exponent prime factors to calculate the LCM of 1034 and 1039.
LCM(1034,1039) = 21×111×471×10391
LCM(1034,1039) = 1074326
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1, 2, 11, 22, 47, 94, 517, 1034
Factors of 1039
List of positive integer factors of 1039 that divides 1039 without a remainder.
1, 1039
Least Common Multiple of 1034 and 1039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1034 and 1039, than apply into the LCM equation.
GCF(1034,1039) = 1
LCM(1034,1039) = ( 1034 × 1039) / 1
LCM(1034,1039) = 1074326 / 1
LCM(1034,1039) = 1074326
Properties of LCM 1034 and 1039
(i) The LCM of 1039 and 1034 is associative
LCM of 1034 and 1039 = LCM of 1039 and 1034
Related Least Common Multiples of 1034
Related Least Common Multiples of 1039
Frequently Asked Questions on LCM of 1034 and 1039
1. What is the LCM of 1034 and 1039?
Answer: LCM of 1034 and 1039 is 1074326.
2. What are the Factors of 1034?
Answer: Factors of 1034 are 1, 2, 11, 22, 47, 94, 517, 1034. There are 8 integers that are factors of 1034. The greatest factor of 1034 is 1034.
3. What are the Factors of 1039?
Answer: Factors of 1039 are 1, 1039. There are 2 integers that are factors of 1039. The greatest factor of 1039 is 1039.
4. How to Find the LCM of 1034 and 1039?
Answer:
Least Common Multiple of 1034 and 1039 = 1074326
Step 1: Find the prime factorization of 1034
1034 = 2 x 11 x 47
Step 2: Find the prime factorization of 1039
1039 = 1039
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1074326 = 2 x 11 x 47 x 1039
Step 4: Therefore, the least common multiple of 1034 and 1039 is 1074326.