Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5233 and 5238 the smallest integer that is 27410454 that is divisible by both numbers.
Least Common Multiple (LCM) of 5233 and 5238 is 27410454.
LCM(5233,5238) = 27410454
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 5233 and 5238. First we will calculate the prime factors of 5233 and 5238.
Prime Factorization of 5233
5233 | 5233 |
1 |
Prime factors of 5233 are 5233. Prime factorization of 5233 in exponential form is:
5233 = 52331
Prime Factorization of 5238
2 | 5238 |
3 | 2619 |
3 | 873 |
3 | 291 |
97 | 97 |
1 |
Prime factors of 5238 are 2, 3,97. Prime factorization of 5238 in exponential form is:
5238 = 21×33×971
Now multiplying the highest exponent prime factors to calculate the LCM of 5233 and 5238.
LCM(5233,5238) = 21×33×971×52331
LCM(5233,5238) = 27410454
Factors of 5233
List of positive integer factors of 5233 that divides 5233 without a remainder.
1, 5233
Factors of 5238
List of positive integer factors of 5238 that divides 5238 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5233 and 5238, than apply into the LCM equation.
GCF(5233,5238) = 1
LCM(5233,5238) = ( 5233 × 5238) / 1
LCM(5233,5238) = 27410454 / 1
LCM(5233,5238) = 27410454
(i) The LCM of 5238 and 5233 is associative
LCM of 5233 and 5238 = LCM of 5238 and 5233
1. What is the LCM of 5233 and 5238?
Answer: LCM of 5233 and 5238 is 27410454.
2. What are the Factors of 5233?
Answer: Factors of 5233 are 1, 5233. There are 2 integers that are factors of 5233. The greatest factor of 5233 is 5233.
3. What are the Factors of 5238?
Answer: Factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238. There are 16 integers that are factors of 5238. The greatest factor of 5238 is 5238.
4. How to Find the LCM of 5233 and 5238?
Answer:
Least Common Multiple of 5233 and 5238 = 27410454
Step 1: Find the prime factorization of 5233
5233 = 5233
Step 2: Find the prime factorization of 5238
5238 = 2 x 3 x 3 x 3 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27410454 = 2 x 3 x 3 x 3 x 97 x 5233
Step 4: Therefore, the least common multiple of 5233 and 5238 is 27410454.