Least Common Multiple of 3021 and 3025
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3021 and 3025 the smallest integer that is 9138525 that is divisible by both numbers.
Least Common Multiple (LCM) of 3021 and 3025 is 9138525.
LCM(3021,3025) = 9138525
LCM of 3021 and 3025
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3021 and 3025 by Prime method
- Least Common Multiple of 3021 and 3025 with GCF Formula
LCM of 3021 and 3025 is 9138525
Least common multiple can be found by multiplying the highest exponent prime factors of 3021 and 3025. First we will calculate the prime factors of 3021 and 3025.
Prime Factorization of 3021
| 3 | 3021 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 3021 are 3, 19,53. Prime factorization of 3021 in exponential form is:
3021 = 31×191×531
Prime Factorization of 3025
| 5 | 3025 |
| 5 | 605 |
| 11 | 121 |
| 11 | 11 |
| 1 |
Prime factors of 3025 are 5,11. Prime factorization of 3025 in exponential form is:
3025 = 52×112
Now multiplying the highest exponent prime factors to calculate the LCM of 3021 and 3025.
LCM(3021,3025) = 31×52×112×191×531
LCM(3021,3025) = 9138525
Factors of 3021
List of positive integer factors of 3021 that divides 3021 without a remainder.
1, 3, 19, 53, 57, 159, 1007, 3021
Factors of 3025
List of positive integer factors of 3025 that divides 3025 without a remainder.
1, 5, 11, 25, 55, 121, 275, 605, 3025
Least Common Multiple of 3021 and 3025 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3021 and 3025, than apply into the LCM equation.
GCF(3021,3025) = 1
LCM(3021,3025) = ( 3021 × 3025) / 1
LCM(3021,3025) = 9138525 / 1
LCM(3021,3025) = 9138525
Properties of LCM 3021 and 3025
(i) The LCM of 3025 and 3021 is associative
LCM of 3021 and 3025 = LCM of 3025 and 3021
Related Least Common Multiples of 3021
Related Least Common Multiples of 3025
Frequently Asked Questions on LCM of 3021 and 3025
1. What is the LCM of 3021 and 3025?
Answer: LCM of 3021 and 3025 is 9138525.
2. What are the Factors of 3021?
Answer: Factors of 3021 are 1, 3, 19, 53, 57, 159, 1007, 3021. There are 8 integers that are factors of 3021. The greatest factor of 3021 is 3021.
3. What are the Factors of 3025?
Answer: Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. There are 9 integers that are factors of 3025. The greatest factor of 3025 is 3025.
4. How to Find the LCM of 3021 and 3025?
Answer:
Least Common Multiple of 3021 and 3025 = 9138525
Step 1: Find the prime factorization of 3021
3021 = 3 x 19 x 53
Step 2: Find the prime factorization of 3025
3025 = 5 x 5 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9138525 = 3 x 5 x 5 x 11 x 11 x 19 x 53
Step 4: Therefore, the least common multiple of 3021 and 3025 is 9138525.