Least Common Multiple of 7217 and 7223
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 7223 the smallest integer that is 52128391 that is divisible by both numbers.
Least Common Multiple (LCM) of 7217 and 7223 is 52128391.
LCM(7217,7223) = 52128391
LCM of 7217 and 7223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7217 and 7223 by Prime method
- Least Common Multiple of 7217 and 7223 with GCF Formula
LCM of 7217 and 7223 is 52128391
Least common multiple can be found by multiplying the highest exponent prime factors of 7217 and 7223. First we will calculate the prime factors of 7217 and 7223.
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 7223
| 31 | 7223 |
| 233 | 233 |
| 1 |
Prime factors of 7223 are 31,233. Prime factorization of 7223 in exponential form is:
7223 = 311×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 7217 and 7223.
LCM(7217,7223) = 71×311×2331×10311
LCM(7217,7223) = 52128391
Factors of 7217
List of positive integer factors of 7217 that divides 7217 without a remainder.
1, 7, 1031, 7217
Factors of 7223
List of positive integer factors of 7223 that divides 7223 without a remainder.
1, 31, 233, 7223
Least Common Multiple of 7217 and 7223 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 7223, than apply into the LCM equation.
GCF(7217,7223) = 1
LCM(7217,7223) = ( 7217 × 7223) / 1
LCM(7217,7223) = 52128391 / 1
LCM(7217,7223) = 52128391
Properties of LCM 7217 and 7223
(i) The LCM of 7223 and 7217 is associative
LCM of 7217 and 7223 = LCM of 7223 and 7217
Related Least Common Multiples of 7217
Related Least Common Multiples of 7223
Frequently Asked Questions on LCM of 7217 and 7223
1. What is the LCM of 7217 and 7223?
Answer: LCM of 7217 and 7223 is 52128391.
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 7223?
Answer: Factors of 7223 are 1, 31, 233, 7223. There are 4 integers that are factors of 7223. The greatest factor of 7223 is 7223.
4. How to Find the LCM of 7217 and 7223?
Answer:
Least Common Multiple of 7217 and 7223 = 52128391
Step 1: Find the prime factorization of 7217
7217 = 7 x 1031
Step 2: Find the prime factorization of 7223
7223 = 31 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52128391 = 7 x 31 x 233 x 1031
Step 4: Therefore, the least common multiple of 7217 and 7223 is 52128391.