Least Common Multiple of 39021 and 39025
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 39021 and 39025 the smallest integer that is 1522794525 that is divisible by both numbers.
Least Common Multiple (LCM) of 39021 and 39025 is 1522794525.
LCM(39021,39025) = 1522794525
LCM of 39021 and 39025
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 39021 and 39025 by Prime method
- Least Common Multiple of 39021 and 39025 with GCF Formula
LCM of 39021 and 39025 is 1522794525
Least common multiple can be found by multiplying the highest exponent prime factors of 39021 and 39025. First we will calculate the prime factors of 39021 and 39025.
Prime Factorization of 39021
| 3 | 39021 |
| 13007 | 13007 |
| 1 |
Prime factors of 39021 are 3,13007. Prime factorization of 39021 in exponential form is:
39021 = 31×130071
Prime Factorization of 39025
| 5 | 39025 |
| 5 | 7805 |
| 7 | 1561 |
| 223 | 223 |
| 1 |
Prime factors of 39025 are 5, 7,223. Prime factorization of 39025 in exponential form is:
39025 = 52×71×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 39021 and 39025.
LCM(39021,39025) = 31×52×71×2231×130071
LCM(39021,39025) = 1522794525
Factors of 39021
List of positive integer factors of 39021 that divides 39021 without a remainder.
1, 3, 13007, 39021
Factors of 39025
List of positive integer factors of 39025 that divides 39025 without a remainder.
1, 5, 7, 25, 35, 175, 223, 1115, 1561, 5575, 7805, 39025
Least Common Multiple of 39021 and 39025 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39021 and 39025, than apply into the LCM equation.
GCF(39021,39025) = 1
LCM(39021,39025) = ( 39021 × 39025) / 1
LCM(39021,39025) = 1522794525 / 1
LCM(39021,39025) = 1522794525
Properties of LCM 39021 and 39025
(i) The LCM of 39025 and 39021 is associative
LCM of 39021 and 39025 = LCM of 39025 and 39021
Related Least Common Multiples of 39021
Related Least Common Multiples of 39025
Frequently Asked Questions on LCM of 39021 and 39025
1. What is the LCM of 39021 and 39025?
Answer: LCM of 39021 and 39025 is 1522794525.
2. What are the Factors of 39021?
Answer: Factors of 39021 are 1, 3, 13007, 39021. There are 4 integers that are factors of 39021. The greatest factor of 39021 is 39021.
3. What are the Factors of 39025?
Answer: Factors of 39025 are 1, 5, 7, 25, 35, 175, 223, 1115, 1561, 5575, 7805, 39025. There are 12 integers that are factors of 39025. The greatest factor of 39025 is 39025.
4. How to Find the LCM of 39021 and 39025?
Answer:
Least Common Multiple of 39021 and 39025 = 1522794525
Step 1: Find the prime factorization of 39021
39021 = 3 x 13007
Step 2: Find the prime factorization of 39025
39025 = 5 x 5 x 7 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1522794525 = 3 x 5 x 5 x 7 x 223 x 13007
Step 4: Therefore, the least common multiple of 39021 and 39025 is 1522794525.