Least Common Multiple of 7025 and 7033
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7025 and 7033 the smallest integer that is 49406825 that is divisible by both numbers.
Least Common Multiple (LCM) of 7025 and 7033 is 49406825.
LCM(7025,7033) = 49406825
LCM of 7025 and 7033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7025 and 7033 by Prime method
- Least Common Multiple of 7025 and 7033 with GCF Formula
LCM of 7025 and 7033 is 49406825
Least common multiple can be found by multiplying the highest exponent prime factors of 7025 and 7033. First we will calculate the prime factors of 7025 and 7033.
Prime Factorization of 7025
| 5 | 7025 |
| 5 | 1405 |
| 281 | 281 |
| 1 |
Prime factors of 7025 are 5,281. Prime factorization of 7025 in exponential form is:
7025 = 52×2811
Prime Factorization of 7033
| 13 | 7033 |
| 541 | 541 |
| 1 |
Prime factors of 7033 are 13,541. Prime factorization of 7033 in exponential form is:
7033 = 131×5411
Now multiplying the highest exponent prime factors to calculate the LCM of 7025 and 7033.
LCM(7025,7033) = 52×131×2811×5411
LCM(7025,7033) = 49406825
Factors of 7025
List of positive integer factors of 7025 that divides 7025 without a remainder.
1, 5, 25, 281, 1405, 7025
Factors of 7033
List of positive integer factors of 7033 that divides 7033 without a remainder.
1, 13, 541, 7033
Least Common Multiple of 7025 and 7033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7025 and 7033, than apply into the LCM equation.
GCF(7025,7033) = 1
LCM(7025,7033) = ( 7025 × 7033) / 1
LCM(7025,7033) = 49406825 / 1
LCM(7025,7033) = 49406825
Properties of LCM 7025 and 7033
(i) The LCM of 7033 and 7025 is associative
LCM of 7025 and 7033 = LCM of 7033 and 7025
Related Least Common Multiples of 7025
Related Least Common Multiples of 7033
Frequently Asked Questions on LCM of 7025 and 7033
1. What is the LCM of 7025 and 7033?
Answer: LCM of 7025 and 7033 is 49406825.
2. What are the Factors of 7025?
Answer: Factors of 7025 are 1, 5, 25, 281, 1405, 7025. There are 6 integers that are factors of 7025. The greatest factor of 7025 is 7025.
3. What are the Factors of 7033?
Answer: Factors of 7033 are 1, 13, 541, 7033. There are 4 integers that are factors of 7033. The greatest factor of 7033 is 7033.
4. How to Find the LCM of 7025 and 7033?
Answer:
Least Common Multiple of 7025 and 7033 = 49406825
Step 1: Find the prime factorization of 7025
7025 = 5 x 5 x 281
Step 2: Find the prime factorization of 7033
7033 = 13 x 541
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49406825 = 5 x 5 x 13 x 281 x 541
Step 4: Therefore, the least common multiple of 7025 and 7033 is 49406825.