Least Common Multiple of 1025 and 1029
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1025 and 1029 the smallest integer that is 1054725 that is divisible by both numbers.
Least Common Multiple (LCM) of 1025 and 1029 is 1054725.
LCM(1025,1029) = 1054725
LCM of 1025 and 1029
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1025 and 1029 by Prime method
- Least Common Multiple of 1025 and 1029 with GCF Formula
LCM of 1025 and 1029 is 1054725
Least common multiple can be found by multiplying the highest exponent prime factors of 1025 and 1029. First we will calculate the prime factors of 1025 and 1029.
Prime Factorization of 1025
| 5 | 1025 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 1025 are 5,41. Prime factorization of 1025 in exponential form is:
1025 = 52×411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1025 and 1029.
LCM(1025,1029) = 31×52×73×411
LCM(1025,1029) = 1054725
Factors of 1025
List of positive integer factors of 1025 that divides 1025 without a remainder.
1, 5, 25, 41, 205, 1025
Factors of 1029
List of positive integer factors of 1029 that divides 1029 without a remainder.
1, 3, 7, 21, 49, 147, 343, 1029
Least Common Multiple of 1025 and 1029 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1025 and 1029, than apply into the LCM equation.
GCF(1025,1029) = 1
LCM(1025,1029) = ( 1025 × 1029) / 1
LCM(1025,1029) = 1054725 / 1
LCM(1025,1029) = 1054725
Properties of LCM 1025 and 1029
(i) The LCM of 1029 and 1025 is associative
LCM of 1025 and 1029 = LCM of 1029 and 1025
Related Least Common Multiples of 1025
Related Least Common Multiples of 1029
Frequently Asked Questions on LCM of 1025 and 1029
1. What is the LCM of 1025 and 1029?
Answer: LCM of 1025 and 1029 is 1054725.
2. What are the Factors of 1025?
Answer: Factors of 1025 are 1, 5, 25, 41, 205, 1025. There are 6 integers that are factors of 1025. The greatest factor of 1025 is 1025.
3. 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.
4. How to Find the LCM of 1025 and 1029?
Answer:
Least Common Multiple of 1025 and 1029 = 1054725
Step 1: Find the prime factorization of 1025
1025 = 5 x 5 x 41
Step 2: Find the prime factorization of 1029
1029 = 3 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1054725 = 3 x 5 x 5 x 7 x 7 x 7 x 41
Step 4: Therefore, the least common multiple of 1025 and 1029 is 1054725.