Least Common Multiple of 2249 and 2255
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2249 and 2255 the smallest integer that is 5071495 that is divisible by both numbers.
Least Common Multiple (LCM) of 2249 and 2255 is 5071495.
LCM(2249,2255) = 5071495
LCM of 2249 and 2255
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2249 and 2255 by Prime method
- Least Common Multiple of 2249 and 2255 with GCF Formula
LCM of 2249 and 2255 is 5071495
Least common multiple can be found by multiplying the highest exponent prime factors of 2249 and 2255. First we will calculate the prime factors of 2249 and 2255.
Prime Factorization of 2249
| 13 | 2249 |
| 173 | 173 |
| 1 |
Prime factors of 2249 are 13,173. Prime factorization of 2249 in exponential form is:
2249 = 131×1731
Prime Factorization of 2255
| 5 | 2255 |
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 2255 are 5, 11,41. Prime factorization of 2255 in exponential form is:
2255 = 51×111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 2249 and 2255.
LCM(2249,2255) = 51×111×131×411×1731
LCM(2249,2255) = 5071495
Factors of 2249
List of positive integer factors of 2249 that divides 2249 without a remainder.
1, 13, 173, 2249
Factors of 2255
List of positive integer factors of 2255 that divides 2255 without a remainder.
1, 5, 11, 41, 55, 205, 451, 2255
Least Common Multiple of 2249 and 2255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2249 and 2255, than apply into the LCM equation.
GCF(2249,2255) = 1
LCM(2249,2255) = ( 2249 × 2255) / 1
LCM(2249,2255) = 5071495 / 1
LCM(2249,2255) = 5071495
Properties of LCM 2249 and 2255
(i) The LCM of 2255 and 2249 is associative
LCM of 2249 and 2255 = LCM of 2255 and 2249
Related Least Common Multiples of 2249
Related Least Common Multiples of 2255
Frequently Asked Questions on LCM of 2249 and 2255
1. What is the LCM of 2249 and 2255?
Answer: LCM of 2249 and 2255 is 5071495.
2. What are the Factors of 2249?
Answer: Factors of 2249 are 1, 13, 173, 2249. There are 4 integers that are factors of 2249. The greatest factor of 2249 is 2249.
3. What are the Factors of 2255?
Answer: Factors of 2255 are 1, 5, 11, 41, 55, 205, 451, 2255. There are 8 integers that are factors of 2255. The greatest factor of 2255 is 2255.
4. How to Find the LCM of 2249 and 2255?
Answer:
Least Common Multiple of 2249 and 2255 = 5071495
Step 1: Find the prime factorization of 2249
2249 = 13 x 173
Step 2: Find the prime factorization of 2255
2255 = 5 x 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5071495 = 5 x 11 x 13 x 41 x 173
Step 4: Therefore, the least common multiple of 2249 and 2255 is 5071495.