Least Common Multiple of 1029 and 1034
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1029 and 1034 the smallest integer that is 1063986 that is divisible by both numbers.
Least Common Multiple (LCM) of 1029 and 1034 is 1063986.
LCM(1029,1034) = 1063986
LCM of 1029 and 1034
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1029 and 1034 by Prime method
- Least Common Multiple of 1029 and 1034 with GCF Formula
LCM of 1029 and 1034 is 1063986
Least common multiple can be found by multiplying the highest exponent prime factors of 1029 and 1034. First we will calculate the prime factors of 1029 and 1034.
Prime Factorization of 1029
| 3 | 1029 |
| 7 | 343 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 1029 are 3,7. Prime factorization of 1029 in exponential form is:
1029 = 31×73
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1029 and 1034.
LCM(1029,1034) = 21×31×73×111×471
LCM(1029,1034) = 1063986
Factors of 1029
List of positive integer factors of 1029 that divides 1029 without a remainder.
1, 3, 7, 21, 49, 147, 343, 1029
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1, 2, 11, 22, 47, 94, 517, 1034
Least Common Multiple of 1029 and 1034 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1029 and 1034, than apply into the LCM equation.
GCF(1029,1034) = 1
LCM(1029,1034) = ( 1029 × 1034) / 1
LCM(1029,1034) = 1063986 / 1
LCM(1029,1034) = 1063986
Properties of LCM 1029 and 1034
(i) The LCM of 1034 and 1029 is associative
LCM of 1029 and 1034 = LCM of 1034 and 1029
Related Least Common Multiples of 1029
Related Least Common Multiples of 1034
Frequently Asked Questions on LCM of 1029 and 1034
1. What is the LCM of 1029 and 1034?
Answer: LCM of 1029 and 1034 is 1063986.
2. What are the Factors of 1029?
Answer: Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029. There are 8 integers that are factors of 1029. The greatest factor of 1029 is 1029.
3. 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.
4. How to Find the LCM of 1029 and 1034?
Answer:
Least Common Multiple of 1029 and 1034 = 1063986
Step 1: Find the prime factorization of 1029
1029 = 3 x 7 x 7 x 7
Step 2: Find the prime factorization of 1034
1034 = 2 x 11 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1063986 = 2 x 3 x 7 x 7 x 7 x 11 x 47
Step 4: Therefore, the least common multiple of 1029 and 1034 is 1063986.