Least Common Multiple of 15209 and 15213
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15209 and 15213 the smallest integer that is 231374517 that is divisible by both numbers.
Least Common Multiple (LCM) of 15209 and 15213 is 231374517.
LCM(15209,15213) = 231374517
LCM of 15209 and 15213
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15209 and 15213 by Prime method
- Least Common Multiple of 15209 and 15213 with GCF Formula
LCM of 15209 and 15213 is 231374517
Least common multiple can be found by multiplying the highest exponent prime factors of 15209 and 15213. First we will calculate the prime factors of 15209 and 15213.
Prime Factorization of 15209
| 67 | 15209 |
| 227 | 227 |
| 1 |
Prime factors of 15209 are 67,227. Prime factorization of 15209 in exponential form is:
15209 = 671×2271
Prime Factorization of 15213
| 3 | 15213 |
| 11 | 5071 |
| 461 | 461 |
| 1 |
Prime factors of 15213 are 3, 11,461. Prime factorization of 15213 in exponential form is:
15213 = 31×111×4611
Now multiplying the highest exponent prime factors to calculate the LCM of 15209 and 15213.
LCM(15209,15213) = 31×111×671×2271×4611
LCM(15209,15213) = 231374517
Factors of 15209
List of positive integer factors of 15209 that divides 15209 without a remainder.
1, 67, 227, 15209
Factors of 15213
List of positive integer factors of 15213 that divides 15213 without a remainder.
1, 3, 11, 33, 461, 1383, 5071, 15213
Least Common Multiple of 15209 and 15213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15209 and 15213, than apply into the LCM equation.
GCF(15209,15213) = 1
LCM(15209,15213) = ( 15209 × 15213) / 1
LCM(15209,15213) = 231374517 / 1
LCM(15209,15213) = 231374517
Properties of LCM 15209 and 15213
(i) The LCM of 15213 and 15209 is associative
LCM of 15209 and 15213 = LCM of 15213 and 15209
Related Least Common Multiples of 15209
Related Least Common Multiples of 15213
Frequently Asked Questions on LCM of 15209 and 15213
1. What is the LCM of 15209 and 15213?
Answer: LCM of 15209 and 15213 is 231374517.
2. What are the Factors of 15209?
Answer: Factors of 15209 are 1, 67, 227, 15209. There are 4 integers that are factors of 15209. The greatest factor of 15209 is 15209.
3. What are the Factors of 15213?
Answer: Factors of 15213 are 1, 3, 11, 33, 461, 1383, 5071, 15213. There are 8 integers that are factors of 15213. The greatest factor of 15213 is 15213.
4. How to Find the LCM of 15209 and 15213?
Answer:
Least Common Multiple of 15209 and 15213 = 231374517
Step 1: Find the prime factorization of 15209
15209 = 67 x 227
Step 2: Find the prime factorization of 15213
15213 = 3 x 11 x 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231374517 = 3 x 11 x 67 x 227 x 461
Step 4: Therefore, the least common multiple of 15209 and 15213 is 231374517.