Least Common Multiple of 4234 and 4241
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4234 and 4241 the smallest integer that is 17956394 that is divisible by both numbers.
Least Common Multiple (LCM) of 4234 and 4241 is 17956394.
LCM(4234,4241) = 17956394
LCM of 4234 and 4241
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4234 and 4241 by Prime method
- Least Common Multiple of 4234 and 4241 with GCF Formula
LCM of 4234 and 4241 is 17956394
Least common multiple can be found by multiplying the highest exponent prime factors of 4234 and 4241. First we will calculate the prime factors of 4234 and 4241.
Prime Factorization of 4234
| 2 | 4234 |
| 29 | 2117 |
| 73 | 73 |
| 1 |
Prime factors of 4234 are 2, 29,73. Prime factorization of 4234 in exponential form is:
4234 = 21×291×731
Prime Factorization of 4241
| 4241 | 4241 |
| 1 |
Prime factors of 4241 are 4241. Prime factorization of 4241 in exponential form is:
4241 = 42411
Now multiplying the highest exponent prime factors to calculate the LCM of 4234 and 4241.
LCM(4234,4241) = 21×291×731×42411
LCM(4234,4241) = 17956394
Factors of 4234
List of positive integer factors of 4234 that divides 4234 without a remainder.
1, 2, 29, 58, 73, 146, 2117, 4234
Factors of 4241
List of positive integer factors of 4241 that divides 4241 without a remainder.
1, 4241
Least Common Multiple of 4234 and 4241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4234 and 4241, than apply into the LCM equation.
GCF(4234,4241) = 1
LCM(4234,4241) = ( 4234 × 4241) / 1
LCM(4234,4241) = 17956394 / 1
LCM(4234,4241) = 17956394
Properties of LCM 4234 and 4241
(i) The LCM of 4241 and 4234 is associative
LCM of 4234 and 4241 = LCM of 4241 and 4234
Related Least Common Multiples of 4234
Related Least Common Multiples of 4241
Frequently Asked Questions on LCM of 4234 and 4241
1. What is the LCM of 4234 and 4241?
Answer: LCM of 4234 and 4241 is 17956394.
2. What are the Factors of 4234?
Answer: Factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234. There are 8 integers that are factors of 4234. The greatest factor of 4234 is 4234.
3. What are the Factors of 4241?
Answer: Factors of 4241 are 1, 4241. There are 2 integers that are factors of 4241. The greatest factor of 4241 is 4241.
4. How to Find the LCM of 4234 and 4241?
Answer:
Least Common Multiple of 4234 and 4241 = 17956394
Step 1: Find the prime factorization of 4234
4234 = 2 x 29 x 73
Step 2: Find the prime factorization of 4241
4241 = 4241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17956394 = 2 x 29 x 73 x 4241
Step 4: Therefore, the least common multiple of 4234 and 4241 is 17956394.