Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7217 and 7225 the smallest integer that is 52142825 that is divisible by both numbers.
Least Common Multiple (LCM) of 7217 and 7225 is 52142825.
LCM(7217,7225) = 52142825
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7217 and 7225. First we will calculate the prime factors of 7217 and 7225.
Prime Factorization of 7217
7 | 7217 |
1031 | 1031 |
1 |
Prime factors of 7217 are 7,1031. Prime factorization of 7217 in exponential form is:
7217 = 71×10311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7217 and 7225.
LCM(7217,7225) = 52×71×172×10311
LCM(7217,7225) = 52142825
Factors of 7217
List of positive integer factors of 7217 that divides 7217 without a remainder.
1, 7, 1031, 7217
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7217 and 7225, than apply into the LCM equation.
GCF(7217,7225) = 1
LCM(7217,7225) = ( 7217 × 7225) / 1
LCM(7217,7225) = 52142825 / 1
LCM(7217,7225) = 52142825
(i) The LCM of 7225 and 7217 is associative
LCM of 7217 and 7225 = LCM of 7225 and 7217
1. What is the LCM of 7217 and 7225?
Answer: LCM of 7217 and 7225 is 52142825.
2. What are the Factors of 7217?
Answer: Factors of 7217 are 1, 7, 1031, 7217. There are 4 integers that are factors of 7217. The greatest factor of 7217 is 7217.
3. 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.
4. How to Find the LCM of 7217 and 7225?
Answer:
Least Common Multiple of 7217 and 7225 = 52142825
Step 1: Find the prime factorization of 7217
7217 = 7 x 1031
Step 2: Find the prime factorization of 7225
7225 = 5 x 5 x 17 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52142825 = 5 x 5 x 7 x 17 x 17 x 1031
Step 4: Therefore, the least common multiple of 7217 and 7225 is 52142825.