Least Common Multiple of 1029 and 1033
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 1033 the smallest integer that is 1062957 that is divisible by both numbers.
Least Common Multiple (LCM) of 1029 and 1033 is 1062957.
LCM(1029,1033) = 1062957
LCM of 1029 and 1033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1029 and 1033 by Prime method
- Least Common Multiple of 1029 and 1033 with GCF Formula
LCM of 1029 and 1033 is 1062957
Least common multiple can be found by multiplying the highest exponent prime factors of 1029 and 1033. First we will calculate the prime factors of 1029 and 1033.
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 1033
| 1033 | 1033 |
| 1 |
Prime factors of 1033 are 1033. Prime factorization of 1033 in exponential form is:
1033 = 10331
Now multiplying the highest exponent prime factors to calculate the LCM of 1029 and 1033.
LCM(1029,1033) = 31×73×10331
LCM(1029,1033) = 1062957
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 1033
List of positive integer factors of 1033 that divides 1033 without a remainder.
1, 1033
Least Common Multiple of 1029 and 1033 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 1033, than apply into the LCM equation.
GCF(1029,1033) = 1
LCM(1029,1033) = ( 1029 × 1033) / 1
LCM(1029,1033) = 1062957 / 1
LCM(1029,1033) = 1062957
Properties of LCM 1029 and 1033
(i) The LCM of 1033 and 1029 is associative
LCM of 1029 and 1033 = LCM of 1033 and 1029
Related Least Common Multiples of 1029
Related Least Common Multiples of 1033
Frequently Asked Questions on LCM of 1029 and 1033
1. What is the LCM of 1029 and 1033?
Answer: LCM of 1029 and 1033 is 1062957.
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 1033?
Answer: Factors of 1033 are 1, 1033. There are 2 integers that are factors of 1033. The greatest factor of 1033 is 1033.
4. How to Find the LCM of 1029 and 1033?
Answer:
Least Common Multiple of 1029 and 1033 = 1062957
Step 1: Find the prime factorization of 1029
1029 = 3 x 7 x 7 x 7
Step 2: Find the prime factorization of 1033
1033 = 1033
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1062957 = 3 x 7 x 7 x 7 x 1033
Step 4: Therefore, the least common multiple of 1029 and 1033 is 1062957.
