Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2248 and 2254 the smallest integer that is 2533496 that is divisible by both numbers.
Least Common Multiple (LCM) of 2248 and 2254 is 2533496.
LCM(2248,2254) = 2533496
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2248 and 2254. First we will calculate the prime factors of 2248 and 2254.
Prime Factorization of 2248
2 | 2248 |
2 | 1124 |
2 | 562 |
281 | 281 |
1 |
Prime factors of 2248 are 2,281. Prime factorization of 2248 in exponential form is:
2248 = 23×2811
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 2248 and 2254.
LCM(2248,2254) = 23×72×231×2811
LCM(2248,2254) = 2533496
Factors of 2248
List of positive integer factors of 2248 that divides 2248 without a remainder.
1, 2, 4, 8, 281, 562, 1124, 2248
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2248 and 2254, than apply into the LCM equation.
GCF(2248,2254) = 2
LCM(2248,2254) = ( 2248 × 2254) / 2
LCM(2248,2254) = 5066992 / 2
LCM(2248,2254) = 2533496
(i) The LCM of 2254 and 2248 is associative
LCM of 2248 and 2254 = LCM of 2254 and 2248
1. What is the LCM of 2248 and 2254?
Answer: LCM of 2248 and 2254 is 2533496.
2. What are the Factors of 2248?
Answer: Factors of 2248 are 1, 2, 4, 8, 281, 562, 1124, 2248. There are 8 integers that are factors of 2248. The greatest factor of 2248 is 2248.
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 2248 and 2254?
Answer:
Least Common Multiple of 2248 and 2254 = 2533496
Step 1: Find the prime factorization of 2248
2248 = 2 x 2 x 2 x 281
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 = 2533496 = 2 x 2 x 2 x 7 x 7 x 23 x 281
Step 4: Therefore, the least common multiple of 2248 and 2254 is 2533496.