Least Common Multiple of 6025 and 6033
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6025 and 6033 the smallest integer that is 36348825 that is divisible by both numbers.
Least Common Multiple (LCM) of 6025 and 6033 is 36348825.
LCM(6025,6033) = 36348825
LCM of 6025 and 6033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6025 and 6033 by Prime method
- Least Common Multiple of 6025 and 6033 with GCF Formula
LCM of 6025 and 6033 is 36348825
Least common multiple can be found by multiplying the highest exponent prime factors of 6025 and 6033. First we will calculate the prime factors of 6025 and 6033.
Prime Factorization of 6025
| 5 | 6025 |
| 5 | 1205 |
| 241 | 241 |
| 1 |
Prime factors of 6025 are 5,241. Prime factorization of 6025 in exponential form is:
6025 = 52×2411
Prime Factorization of 6033
| 3 | 6033 |
| 2011 | 2011 |
| 1 |
Prime factors of 6033 are 3,2011. Prime factorization of 6033 in exponential form is:
6033 = 31×20111
Now multiplying the highest exponent prime factors to calculate the LCM of 6025 and 6033.
LCM(6025,6033) = 31×52×2411×20111
LCM(6025,6033) = 36348825
Factors of 6025
List of positive integer factors of 6025 that divides 6025 without a remainder.
1, 5, 25, 241, 1205, 6025
Factors of 6033
List of positive integer factors of 6033 that divides 6033 without a remainder.
1, 3, 2011, 6033
Least Common Multiple of 6025 and 6033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6025 and 6033, than apply into the LCM equation.
GCF(6025,6033) = 1
LCM(6025,6033) = ( 6025 × 6033) / 1
LCM(6025,6033) = 36348825 / 1
LCM(6025,6033) = 36348825
Properties of LCM 6025 and 6033
(i) The LCM of 6033 and 6025 is associative
LCM of 6025 and 6033 = LCM of 6033 and 6025
Related Least Common Multiples of 6025
Related Least Common Multiples of 6033
Frequently Asked Questions on LCM of 6025 and 6033
1. What is the LCM of 6025 and 6033?
Answer: LCM of 6025 and 6033 is 36348825.
2. What are the Factors of 6025?
Answer: Factors of 6025 are 1, 5, 25, 241, 1205, 6025. There are 6 integers that are factors of 6025. The greatest factor of 6025 is 6025.
3. What are the Factors of 6033?
Answer: Factors of 6033 are 1, 3, 2011, 6033. There are 4 integers that are factors of 6033. The greatest factor of 6033 is 6033.
4. How to Find the LCM of 6025 and 6033?
Answer:
Least Common Multiple of 6025 and 6033 = 36348825
Step 1: Find the prime factorization of 6025
6025 = 5 x 5 x 241
Step 2: Find the prime factorization of 6033
6033 = 3 x 2011
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36348825 = 3 x 5 x 5 x 241 x 2011
Step 4: Therefore, the least common multiple of 6025 and 6033 is 36348825.