Least Common Multiple of 7225 and 7233
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7225 and 7233 the smallest integer that is 52258425 that is divisible by both numbers.
Least Common Multiple (LCM) of 7225 and 7233 is 52258425.
LCM(7225,7233) = 52258425
LCM of 7225 and 7233
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7225 and 7233 by Prime method
- Least Common Multiple of 7225 and 7233 with GCF Formula
LCM of 7225 and 7233 is 52258425
Least common multiple can be found by multiplying the highest exponent prime factors of 7225 and 7233. First we will calculate the prime factors of 7225 and 7233.
Prime Factorization of 7225
| 5 | 7225 |
| 5 | 1445 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 7225 are 5,17. Prime factorization of 7225 in exponential form is:
7225 = 52×172
Prime Factorization of 7233
| 3 | 7233 |
| 2411 | 2411 |
| 1 |
Prime factors of 7233 are 3,2411. Prime factorization of 7233 in exponential form is:
7233 = 31×24111
Now multiplying the highest exponent prime factors to calculate the LCM of 7225 and 7233.
LCM(7225,7233) = 31×52×172×24111
LCM(7225,7233) = 52258425
Factors of 7225
List of positive integer factors of 7225 that divides 7225 without a remainder.
1, 5, 17, 25, 85, 289, 425, 1445, 7225
Factors of 7233
List of positive integer factors of 7233 that divides 7233 without a remainder.
1, 3, 2411, 7233
Least Common Multiple of 7225 and 7233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7225 and 7233, than apply into the LCM equation.
GCF(7225,7233) = 1
LCM(7225,7233) = ( 7225 × 7233) / 1
LCM(7225,7233) = 52258425 / 1
LCM(7225,7233) = 52258425
Properties of LCM 7225 and 7233
(i) The LCM of 7233 and 7225 is associative
LCM of 7225 and 7233 = LCM of 7233 and 7225
Related Least Common Multiples of 7225
Related Least Common Multiples of 7233
Frequently Asked Questions on LCM of 7225 and 7233
1. What is the LCM of 7225 and 7233?
Answer: LCM of 7225 and 7233 is 52258425.
2. What are the Factors of 7225?
Answer: Factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225. There are 9 integers that are factors of 7225. The greatest factor of 7225 is 7225.
3. What are the Factors of 7233?
Answer: Factors of 7233 are 1, 3, 2411, 7233. There are 4 integers that are factors of 7233. The greatest factor of 7233 is 7233.
4. How to Find the LCM of 7225 and 7233?
Answer:
Least Common Multiple of 7225 and 7233 = 52258425
Step 1: Find the prime factorization of 7225
7225 = 5 x 5 x 17 x 17
Step 2: Find the prime factorization of 7233
7233 = 3 x 2411
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52258425 = 3 x 5 x 5 x 17 x 17 x 2411
Step 4: Therefore, the least common multiple of 7225 and 7233 is 52258425.