Least Common Multiple of 7217 and 7221
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 7221 the smallest integer that is 52113957 that is divisible by both numbers.
Least Common Multiple (LCM) of 7217 and 7221 is 52113957.
LCM(7217,7221) = 52113957
LCM of 7217 and 7221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7217 and 7221 by Prime method
- Least Common Multiple of 7217 and 7221 with GCF Formula
LCM of 7217 and 7221 is 52113957
Least common multiple can be found by multiplying the highest exponent prime factors of 7217 and 7221. First we will calculate the prime factors of 7217 and 7221.
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 7221
| 3 | 7221 |
| 29 | 2407 |
| 83 | 83 |
| 1 |
Prime factors of 7221 are 3, 29,83. Prime factorization of 7221 in exponential form is:
7221 = 31×291×831
Now multiplying the highest exponent prime factors to calculate the LCM of 7217 and 7221.
LCM(7217,7221) = 31×71×291×831×10311
LCM(7217,7221) = 52113957
Factors of 7217
List of positive integer factors of 7217 that divides 7217 without a remainder.
1, 7, 1031, 7217
Factors of 7221
List of positive integer factors of 7221 that divides 7221 without a remainder.
1, 3, 29, 83, 87, 249, 2407, 7221
Least Common Multiple of 7217 and 7221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7217 and 7221, than apply into the LCM equation.
GCF(7217,7221) = 1
LCM(7217,7221) = ( 7217 × 7221) / 1
LCM(7217,7221) = 52113957 / 1
LCM(7217,7221) = 52113957
Properties of LCM 7217 and 7221
(i) The LCM of 7221 and 7217 is associative
LCM of 7217 and 7221 = LCM of 7221 and 7217
Related Least Common Multiples of 7217
Related Least Common Multiples of 7221
Frequently Asked Questions on LCM of 7217 and 7221
1. What is the LCM of 7217 and 7221?
Answer: LCM of 7217 and 7221 is 52113957.
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 7221?
Answer: Factors of 7221 are 1, 3, 29, 83, 87, 249, 2407, 7221. There are 8 integers that are factors of 7221. The greatest factor of 7221 is 7221.
4. How to Find the LCM of 7217 and 7221?
Answer:
Least Common Multiple of 7217 and 7221 = 52113957
Step 1: Find the prime factorization of 7217
7217 = 7 x 1031
Step 2: Find the prime factorization of 7221
7221 = 3 x 29 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52113957 = 3 x 7 x 29 x 83 x 1031
Step 4: Therefore, the least common multiple of 7217 and 7221 is 52113957.