Least Common Multiple of 7215 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 7215 and 7223 the smallest integer that is 52113945 that is divisible by both numbers.
Least Common Multiple (LCM) of 7215 and 7223 is 52113945.
LCM(7215,7223) = 52113945
LCM of 7215 and 7223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7215 and 7223 by Prime method
- Least Common Multiple of 7215 and 7223 with GCF Formula
LCM of 7215 and 7223 is 52113945
Least common multiple can be found by multiplying the highest exponent prime factors of 7215 and 7223. First we will calculate the prime factors of 7215 and 7223.
Prime Factorization of 7215
| 3 | 7215 |
| 5 | 2405 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 7215 are 3, 5, 13,37. Prime factorization of 7215 in exponential form is:
7215 = 31×51×131×371
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 7215 and 7223.
LCM(7215,7223) = 31×51×131×311×371×2331
LCM(7215,7223) = 52113945
Factors of 7215
List of positive integer factors of 7215 that divides 7215 without a remainder.
1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215
Factors of 7223
List of positive integer factors of 7223 that divides 7223 without a remainder.
1, 31, 233, 7223
Least Common Multiple of 7215 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 7215 and 7223, than apply into the LCM equation.
GCF(7215,7223) = 1
LCM(7215,7223) = ( 7215 × 7223) / 1
LCM(7215,7223) = 52113945 / 1
LCM(7215,7223) = 52113945
Properties of LCM 7215 and 7223
(i) The LCM of 7223 and 7215 is associative
LCM of 7215 and 7223 = LCM of 7223 and 7215
Related Least Common Multiples of 7215
Related Least Common Multiples of 7223
Frequently Asked Questions on LCM of 7215 and 7223
1. What is the LCM of 7215 and 7223?
Answer: LCM of 7215 and 7223 is 52113945.
2. What are the Factors of 7215?
Answer: Factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215. There are 16 integers that are factors of 7215. The greatest factor of 7215 is 7215.
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 7215 and 7223?
Answer:
Least Common Multiple of 7215 and 7223 = 52113945
Step 1: Find the prime factorization of 7215
7215 = 3 x 5 x 13 x 37
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 = 52113945 = 3 x 5 x 13 x 31 x 37 x 233
Step 4: Therefore, the least common multiple of 7215 and 7223 is 52113945.