Least Common Multiple of 15225 and 15229
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15225 and 15229 the smallest integer that is 231861525 that is divisible by both numbers.
Least Common Multiple (LCM) of 15225 and 15229 is 231861525.
LCM(15225,15229) = 231861525
LCM of 15225 and 15229
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15225 and 15229 by Prime method
- Least Common Multiple of 15225 and 15229 with GCF Formula
LCM of 15225 and 15229 is 231861525
Least common multiple can be found by multiplying the highest exponent prime factors of 15225 and 15229. First we will calculate the prime factors of 15225 and 15229.
Prime Factorization of 15225
| 3 | 15225 |
| 5 | 5075 |
| 5 | 1015 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 15225 are 3, 5, 7,29. Prime factorization of 15225 in exponential form is:
15225 = 31×52×71×291
Prime Factorization of 15229
| 97 | 15229 |
| 157 | 157 |
| 1 |
Prime factors of 15229 are 97,157. Prime factorization of 15229 in exponential form is:
15229 = 971×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 15225 and 15229.
LCM(15225,15229) = 31×52×71×291×971×1571
LCM(15225,15229) = 231861525
Factors of 15225
List of positive integer factors of 15225 that divides 15225 without a remainder.
1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075, 15225
Factors of 15229
List of positive integer factors of 15229 that divides 15229 without a remainder.
1, 97, 157, 15229
Least Common Multiple of 15225 and 15229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15225 and 15229, than apply into the LCM equation.
GCF(15225,15229) = 1
LCM(15225,15229) = ( 15225 × 15229) / 1
LCM(15225,15229) = 231861525 / 1
LCM(15225,15229) = 231861525
Properties of LCM 15225 and 15229
(i) The LCM of 15229 and 15225 is associative
LCM of 15225 and 15229 = LCM of 15229 and 15225
Related Least Common Multiples of 15225
Related Least Common Multiples of 15229
Frequently Asked Questions on LCM of 15225 and 15229
1. What is the LCM of 15225 and 15229?
Answer: LCM of 15225 and 15229 is 231861525.
2. What are the Factors of 15225?
Answer: Factors of 15225 are 1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075, 15225. There are 24 integers that are factors of 15225. The greatest factor of 15225 is 15225.
3. What are the Factors of 15229?
Answer: Factors of 15229 are 1, 97, 157, 15229. There are 4 integers that are factors of 15229. The greatest factor of 15229 is 15229.
4. How to Find the LCM of 15225 and 15229?
Answer:
Least Common Multiple of 15225 and 15229 = 231861525
Step 1: Find the prime factorization of 15225
15225 = 3 x 5 x 5 x 7 x 29
Step 2: Find the prime factorization of 15229
15229 = 97 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 231861525 = 3 x 5 x 5 x 7 x 29 x 97 x 157
Step 4: Therefore, the least common multiple of 15225 and 15229 is 231861525.