Least Common Multiple of 15209 and 15214
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 15214 the smallest integer that is 231389726 that is divisible by both numbers.
Least Common Multiple (LCM) of 15209 and 15214 is 231389726.
LCM(15209,15214) = 231389726
LCM of 15209 and 15214
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15209 and 15214 by Prime method
- Least Common Multiple of 15209 and 15214 with GCF Formula
LCM of 15209 and 15214 is 231389726
Least common multiple can be found by multiplying the highest exponent prime factors of 15209 and 15214. First we will calculate the prime factors of 15209 and 15214.
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 15214
| 2 | 15214 |
| 7607 | 7607 |
| 1 |
Prime factors of 15214 are 2,7607. Prime factorization of 15214 in exponential form is:
15214 = 21×76071
Now multiplying the highest exponent prime factors to calculate the LCM of 15209 and 15214.
LCM(15209,15214) = 21×671×2271×76071
LCM(15209,15214) = 231389726
Factors of 15209
List of positive integer factors of 15209 that divides 15209 without a remainder.
1, 67, 227, 15209
Factors of 15214
List of positive integer factors of 15214 that divides 15214 without a remainder.
1, 2, 7607, 15214
Least Common Multiple of 15209 and 15214 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 15214, than apply into the LCM equation.
GCF(15209,15214) = 1
LCM(15209,15214) = ( 15209 × 15214) / 1
LCM(15209,15214) = 231389726 / 1
LCM(15209,15214) = 231389726
Properties of LCM 15209 and 15214
(i) The LCM of 15214 and 15209 is associative
LCM of 15209 and 15214 = LCM of 15214 and 15209
Related Least Common Multiples of 15209
Related Least Common Multiples of 15214
Frequently Asked Questions on LCM of 15209 and 15214
1. What is the LCM of 15209 and 15214?
Answer: LCM of 15209 and 15214 is 231389726.
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 15214?
Answer: Factors of 15214 are 1, 2, 7607, 15214. There are 4 integers that are factors of 15214. The greatest factor of 15214 is 15214.
4. How to Find the LCM of 15209 and 15214?
Answer:
Least Common Multiple of 15209 and 15214 = 231389726
Step 1: Find the prime factorization of 15209
15209 = 67 x 227
Step 2: Find the prime factorization of 15214
15214 = 2 x 7607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231389726 = 2 x 67 x 227 x 7607
Step 4: Therefore, the least common multiple of 15209 and 15214 is 231389726.