Least Common Multiple of 15218 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 15218 and 15223 the smallest integer that is 231663614 that is divisible by both numbers.
Least Common Multiple (LCM) of 15218 and 15223 is 231663614.
LCM(15218,15223) = 231663614
LCM of 15218 and 15223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15218 and 15223 by Prime method
- Least Common Multiple of 15218 and 15223 with GCF Formula
LCM of 15218 and 15223 is 231663614
Least common multiple can be found by multiplying the highest exponent prime factors of 15218 and 15223. First we will calculate the prime factors of 15218 and 15223.
Prime Factorization of 15218
| 2 | 15218 |
| 7 | 7609 |
| 1087 | 1087 |
| 1 |
Prime factors of 15218 are 2, 7,1087. Prime factorization of 15218 in exponential form is:
15218 = 21×71×10871
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 15218 and 15223.
LCM(15218,15223) = 21×71×131×10871×11711
LCM(15218,15223) = 231663614
Factors of 15218
List of positive integer factors of 15218 that divides 15218 without a remainder.
1, 2, 7, 14, 1087, 2174, 7609, 15218
Factors of 15223
List of positive integer factors of 15223 that divides 15223 without a remainder.
1, 13, 1171, 15223
Least Common Multiple of 15218 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 15218 and 15223, than apply into the LCM equation.
GCF(15218,15223) = 1
LCM(15218,15223) = ( 15218 × 15223) / 1
LCM(15218,15223) = 231663614 / 1
LCM(15218,15223) = 231663614
Properties of LCM 15218 and 15223
(i) The LCM of 15223 and 15218 is associative
LCM of 15218 and 15223 = LCM of 15223 and 15218
Related Least Common Multiples of 15218
Related Least Common Multiples of 15223
Frequently Asked Questions on LCM of 15218 and 15223
1. What is the LCM of 15218 and 15223?
Answer: LCM of 15218 and 15223 is 231663614.
2. What are the Factors of 15218?
Answer: Factors of 15218 are 1, 2, 7, 14, 1087, 2174, 7609, 15218. There are 8 integers that are factors of 15218. The greatest factor of 15218 is 15218.
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 15218 and 15223?
Answer:
Least Common Multiple of 15218 and 15223 = 231663614
Step 1: Find the prime factorization of 15218
15218 = 2 x 7 x 1087
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 = 231663614 = 2 x 7 x 13 x 1087 x 1171
Step 4: Therefore, the least common multiple of 15218 and 15223 is 231663614.