Least Common Multiple of 2249 and 2254
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 2254 the smallest integer that is 5069246 that is divisible by both numbers.
Least Common Multiple (LCM) of 2249 and 2254 is 5069246.
LCM(2249,2254) = 5069246
LCM of 2249 and 2254
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2249 and 2254 by Prime method
- Least Common Multiple of 2249 and 2254 with GCF Formula
LCM of 2249 and 2254 is 5069246
Least common multiple can be found by multiplying the highest exponent prime factors of 2249 and 2254. First we will calculate the prime factors of 2249 and 2254.
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 2254
| 2 | 2254 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 2254 are 2, 7,23. Prime factorization of 2254 in exponential form is:
2254 = 21×72×231
Now multiplying the highest exponent prime factors to calculate the LCM of 2249 and 2254.
LCM(2249,2254) = 21×72×131×231×1731
LCM(2249,2254) = 5069246
Factors of 2249
List of positive integer factors of 2249 that divides 2249 without a remainder.
1, 13, 173, 2249
Factors of 2254
List of positive integer factors of 2254 that divides 2254 without a remainder.
1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254
Least Common Multiple of 2249 and 2254 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 2254, than apply into the LCM equation.
GCF(2249,2254) = 1
LCM(2249,2254) = ( 2249 × 2254) / 1
LCM(2249,2254) = 5069246 / 1
LCM(2249,2254) = 5069246
Properties of LCM 2249 and 2254
(i) The LCM of 2254 and 2249 is associative
LCM of 2249 and 2254 = LCM of 2254 and 2249
Related Least Common Multiples of 2249
Related Least Common Multiples of 2254
Frequently Asked Questions on LCM of 2249 and 2254
1. What is the LCM of 2249 and 2254?
Answer: LCM of 2249 and 2254 is 5069246.
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 2254?
Answer: Factors of 2254 are 1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254. There are 12 integers that are factors of 2254. The greatest factor of 2254 is 2254.
4. How to Find the LCM of 2249 and 2254?
Answer:
Least Common Multiple of 2249 and 2254 = 5069246
Step 1: Find the prime factorization of 2249
2249 = 13 x 173
Step 2: Find the prime factorization of 2254
2254 = 2 x 7 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5069246 = 2 x 7 x 7 x 13 x 23 x 173
Step 4: Therefore, the least common multiple of 2249 and 2254 is 5069246.