Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2243 and 2248 the smallest integer that is 5042264 that is divisible by both numbers.
Least Common Multiple (LCM) of 2243 and 2248 is 5042264.
LCM(2243,2248) = 5042264
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 2243 and 2248. First we will calculate the prime factors of 2243 and 2248.
Prime Factorization of 2243
2243 | 2243 |
1 |
Prime factors of 2243 are 2243. Prime factorization of 2243 in exponential form is:
2243 = 22431
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2243 and 2248.
LCM(2243,2248) = 23×2811×22431
LCM(2243,2248) = 5042264
Factors of 2243
List of positive integer factors of 2243 that divides 2243 without a remainder.
1, 2243
Factors of 2248
List of positive integer factors of 2248 that divides 2248 without a remainder.
1, 2, 4, 8, 281, 562, 1124, 2248
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2243 and 2248, than apply into the LCM equation.
GCF(2243,2248) = 1
LCM(2243,2248) = ( 2243 × 2248) / 1
LCM(2243,2248) = 5042264 / 1
LCM(2243,2248) = 5042264
(i) The LCM of 2248 and 2243 is associative
LCM of 2243 and 2248 = LCM of 2248 and 2243
1. What is the LCM of 2243 and 2248?
Answer: LCM of 2243 and 2248 is 5042264.
2. What are the Factors of 2243?
Answer: Factors of 2243 are 1, 2243. There are 2 integers that are factors of 2243. The greatest factor of 2243 is 2243.
3. 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.
4. How to Find the LCM of 2243 and 2248?
Answer:
Least Common Multiple of 2243 and 2248 = 5042264
Step 1: Find the prime factorization of 2243
2243 = 2243
Step 2: Find the prime factorization of 2248
2248 = 2 x 2 x 2 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5042264 = 2 x 2 x 2 x 281 x 2243
Step 4: Therefore, the least common multiple of 2243 and 2248 is 5042264.