Least Common Multiple of 237 and 238
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 237 and 238 the smallest integer that is 56406 that is divisible by both numbers.
Least Common Multiple (LCM) of 237 and 238 is 56406.
LCM(237,238) = 56406
LCM of 237 and 238
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 237 and 238 by Prime method
- Least Common Multiple of 237 and 238 with GCF Formula
LCM of 237 and 238 is 56406
Least common multiple can be found by multiplying the highest exponent prime factors of 237 and 238. First we will calculate the prime factors of 237 and 238.
Prime Factorization of 237
| 3 | 237 |
| 79 | 79 |
| 1 |
Prime factors of 237 are 3,79. Prime factorization of 237 in exponential form is:
237 = 31×791
Prime Factorization of 238
| 2 | 238 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 238 are 2, 7,17. Prime factorization of 238 in exponential form is:
238 = 21×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 237 and 238.
LCM(237,238) = 21×31×71×171×791
LCM(237,238) = 56406
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Least Common Multiple of 237 and 238 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 237 and 238, than apply into the LCM equation.
GCF(237,238) = 1
LCM(237,238) = ( 237 × 238) / 1
LCM(237,238) = 56406 / 1
LCM(237,238) = 56406
Properties of LCM 237 and 238
(i) The LCM of 238 and 237 is associative
LCM of 237 and 238 = LCM of 238 and 237
Related Least Common Multiples of 237
Related Least Common Multiples of 238
Frequently Asked Questions on LCM of 237 and 238
1. What is the LCM of 237 and 238?
Answer: LCM of 237 and 238 is 56406.
2. What are the Factors of 237?
Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.
3. What are the Factors of 238?
Answer: Factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. There are 8 integers that are factors of 238. The greatest factor of 238 is 238.
4. How to Find the LCM of 237 and 238?
Answer:
Least Common Multiple of 237 and 238 = 56406
Step 1: Find the prime factorization of 237
237 = 3 x 79
Step 2: Find the prime factorization of 238
238 = 2 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56406 = 2 x 3 x 7 x 17 x 79
Step 4: Therefore, the least common multiple of 237 and 238 is 56406.