Least Common Multiple of 16225 and 16231
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 16225 and 16231 the smallest integer that is 263347975 that is divisible by both numbers.
Least Common Multiple (LCM) of 16225 and 16231 is 263347975.
LCM(16225,16231) = 263347975
LCM of 16225 and 16231
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 16225 and 16231 by Prime method
- Least Common Multiple of 16225 and 16231 with GCF Formula
LCM of 16225 and 16231 is 263347975
Least common multiple can be found by multiplying the highest exponent prime factors of 16225 and 16231. First we will calculate the prime factors of 16225 and 16231.
Prime Factorization of 16225
| 5 | 16225 |
| 5 | 3245 |
| 11 | 649 |
| 59 | 59 |
| 1 |
Prime factors of 16225 are 5, 11,59. Prime factorization of 16225 in exponential form is:
16225 = 52×111×591
Prime Factorization of 16231
| 16231 | 16231 |
| 1 |
Prime factors of 16231 are 16231. Prime factorization of 16231 in exponential form is:
16231 = 162311
Now multiplying the highest exponent prime factors to calculate the LCM of 16225 and 16231.
LCM(16225,16231) = 52×111×591×162311
LCM(16225,16231) = 263347975
Factors of 16225
List of positive integer factors of 16225 that divides 16225 without a remainder.
1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245, 16225
Factors of 16231
List of positive integer factors of 16231 that divides 16231 without a remainder.
1, 16231
Least Common Multiple of 16225 and 16231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16225 and 16231, than apply into the LCM equation.
GCF(16225,16231) = 1
LCM(16225,16231) = ( 16225 × 16231) / 1
LCM(16225,16231) = 263347975 / 1
LCM(16225,16231) = 263347975
Properties of LCM 16225 and 16231
(i) The LCM of 16231 and 16225 is associative
LCM of 16225 and 16231 = LCM of 16231 and 16225
Related Least Common Multiples of 16225
Related Least Common Multiples of 16231
Frequently Asked Questions on LCM of 16225 and 16231
1. What is the LCM of 16225 and 16231?
Answer: LCM of 16225 and 16231 is 263347975.
2. What are the Factors of 16225?
Answer: Factors of 16225 are 1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245, 16225. There are 12 integers that are factors of 16225. The greatest factor of 16225 is 16225.
3. What are the Factors of 16231?
Answer: Factors of 16231 are 1, 16231. There are 2 integers that are factors of 16231. The greatest factor of 16231 is 16231.
4. How to Find the LCM of 16225 and 16231?
Answer:
Least Common Multiple of 16225 and 16231 = 263347975
Step 1: Find the prime factorization of 16225
16225 = 5 x 5 x 11 x 59
Step 2: Find the prime factorization of 16231
16231 = 16231
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 263347975 = 5 x 5 x 11 x 59 x 16231
Step 4: Therefore, the least common multiple of 16225 and 16231 is 263347975.