Least Common Multiple of 15215 and 15223
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15215 and 15223 the smallest integer that is 231617945 that is divisible by both numbers.
Least Common Multiple (LCM) of 15215 and 15223 is 231617945.
LCM(15215,15223) = 231617945
LCM of 15215 and 15223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15215 and 15223 by Prime method
- Least Common Multiple of 15215 and 15223 with GCF Formula
LCM of 15215 and 15223 is 231617945
Least common multiple can be found by multiplying the highest exponent prime factors of 15215 and 15223. First we will calculate the prime factors of 15215 and 15223.
Prime Factorization of 15215
| 5 | 15215 |
| 17 | 3043 |
| 179 | 179 |
| 1 |
Prime factors of 15215 are 5, 17,179. Prime factorization of 15215 in exponential form is:
15215 = 51×171×1791
Prime Factorization of 15223
| 13 | 15223 |
| 1171 | 1171 |
| 1 |
Prime factors of 15223 are 13,1171. Prime factorization of 15223 in exponential form is:
15223 = 131×11711
Now multiplying the highest exponent prime factors to calculate the LCM of 15215 and 15223.
LCM(15215,15223) = 51×131×171×1791×11711
LCM(15215,15223) = 231617945
Factors of 15215
List of positive integer factors of 15215 that divides 15215 without a remainder.
1, 5, 17, 85, 179, 895, 3043, 15215
Factors of 15223
List of positive integer factors of 15223 that divides 15223 without a remainder.
1, 13, 1171, 15223
Least Common Multiple of 15215 and 15223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15215 and 15223, than apply into the LCM equation.
GCF(15215,15223) = 1
LCM(15215,15223) = ( 15215 × 15223) / 1
LCM(15215,15223) = 231617945 / 1
LCM(15215,15223) = 231617945
Properties of LCM 15215 and 15223
(i) The LCM of 15223 and 15215 is associative
LCM of 15215 and 15223 = LCM of 15223 and 15215
Related Least Common Multiples of 15215
Related Least Common Multiples of 15223
Frequently Asked Questions on LCM of 15215 and 15223
1. What is the LCM of 15215 and 15223?
Answer: LCM of 15215 and 15223 is 231617945.
2. What are the Factors of 15215?
Answer: Factors of 15215 are 1, 5, 17, 85, 179, 895, 3043, 15215. There are 8 integers that are factors of 15215. The greatest factor of 15215 is 15215.
3. What are the Factors of 15223?
Answer: Factors of 15223 are 1, 13, 1171, 15223. There are 4 integers that are factors of 15223. The greatest factor of 15223 is 15223.
4. How to Find the LCM of 15215 and 15223?
Answer:
Least Common Multiple of 15215 and 15223 = 231617945
Step 1: Find the prime factorization of 15215
15215 = 5 x 17 x 179
Step 2: Find the prime factorization of 15223
15223 = 13 x 1171
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231617945 = 5 x 13 x 17 x 179 x 1171
Step 4: Therefore, the least common multiple of 15215 and 15223 is 231617945.