Least Common Multiple of 7223 and 7231
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7223 and 7231 the smallest integer that is 52229513 that is divisible by both numbers.
Least Common Multiple (LCM) of 7223 and 7231 is 52229513.
LCM(7223,7231) = 52229513
LCM of 7223 and 7231
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7223 and 7231 by Prime method
- Least Common Multiple of 7223 and 7231 with GCF Formula
LCM of 7223 and 7231 is 52229513
Least common multiple can be found by multiplying the highest exponent prime factors of 7223 and 7231. First we will calculate the prime factors of 7223 and 7231.
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
Prime Factorization of 7231
| 7 | 7231 |
| 1033 | 1033 |
| 1 |
Prime factors of 7231 are 7,1033. Prime factorization of 7231 in exponential form is:
7231 = 71×10331
Now multiplying the highest exponent prime factors to calculate the LCM of 7223 and 7231.
LCM(7223,7231) = 71×311×2331×10331
LCM(7223,7231) = 52229513
Factors of 7223
List of positive integer factors of 7223 that divides 7223 without a remainder.
1, 31, 233, 7223
Factors of 7231
List of positive integer factors of 7231 that divides 7231 without a remainder.
1, 7, 1033, 7231
Least Common Multiple of 7223 and 7231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7223 and 7231, than apply into the LCM equation.
GCF(7223,7231) = 1
LCM(7223,7231) = ( 7223 × 7231) / 1
LCM(7223,7231) = 52229513 / 1
LCM(7223,7231) = 52229513
Properties of LCM 7223 and 7231
(i) The LCM of 7231 and 7223 is associative
LCM of 7223 and 7231 = LCM of 7231 and 7223
Related Least Common Multiples of 7223
Related Least Common Multiples of 7231
Frequently Asked Questions on LCM of 7223 and 7231
1. What is the LCM of 7223 and 7231?
Answer: LCM of 7223 and 7231 is 52229513.
2. 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.
3. What are the Factors of 7231?
Answer: Factors of 7231 are 1, 7, 1033, 7231. There are 4 integers that are factors of 7231. The greatest factor of 7231 is 7231.
4. How to Find the LCM of 7223 and 7231?
Answer:
Least Common Multiple of 7223 and 7231 = 52229513
Step 1: Find the prime factorization of 7223
7223 = 31 x 233
Step 2: Find the prime factorization of 7231
7231 = 7 x 1033
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52229513 = 7 x 31 x 233 x 1033
Step 4: Therefore, the least common multiple of 7223 and 7231 is 52229513.