Least Common Multiple of 6235 and 6239
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6235 and 6239 the smallest integer that is 38900165 that is divisible by both numbers.
Least Common Multiple (LCM) of 6235 and 6239 is 38900165.
LCM(6235,6239) = 38900165
LCM of 6235 and 6239
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6235 and 6239 by Prime method
- Least Common Multiple of 6235 and 6239 with GCF Formula
LCM of 6235 and 6239 is 38900165
Least common multiple can be found by multiplying the highest exponent prime factors of 6235 and 6239. First we will calculate the prime factors of 6235 and 6239.
Prime Factorization of 6235
| 5 | 6235 |
| 29 | 1247 |
| 43 | 43 |
| 1 |
Prime factors of 6235 are 5, 29,43. Prime factorization of 6235 in exponential form is:
6235 = 51×291×431
Prime Factorization of 6239
| 17 | 6239 |
| 367 | 367 |
| 1 |
Prime factors of 6239 are 17,367. Prime factorization of 6239 in exponential form is:
6239 = 171×3671
Now multiplying the highest exponent prime factors to calculate the LCM of 6235 and 6239.
LCM(6235,6239) = 51×171×291×431×3671
LCM(6235,6239) = 38900165
Factors of 6235
List of positive integer factors of 6235 that divides 6235 without a remainder.
1, 5, 29, 43, 145, 215, 1247, 6235
Factors of 6239
List of positive integer factors of 6239 that divides 6239 without a remainder.
1, 17, 367, 6239
Least Common Multiple of 6235 and 6239 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6235 and 6239, than apply into the LCM equation.
GCF(6235,6239) = 1
LCM(6235,6239) = ( 6235 × 6239) / 1
LCM(6235,6239) = 38900165 / 1
LCM(6235,6239) = 38900165
Properties of LCM 6235 and 6239
(i) The LCM of 6239 and 6235 is associative
LCM of 6235 and 6239 = LCM of 6239 and 6235
Related Least Common Multiples of 6235
Related Least Common Multiples of 6239
Frequently Asked Questions on LCM of 6235 and 6239
1. What is the LCM of 6235 and 6239?
Answer: LCM of 6235 and 6239 is 38900165.
2. What are the Factors of 6235?
Answer: Factors of 6235 are 1, 5, 29, 43, 145, 215, 1247, 6235. There are 8 integers that are factors of 6235. The greatest factor of 6235 is 6235.
3. What are the Factors of 6239?
Answer: Factors of 6239 are 1, 17, 367, 6239. There are 4 integers that are factors of 6239. The greatest factor of 6239 is 6239.
4. How to Find the LCM of 6235 and 6239?
Answer:
Least Common Multiple of 6235 and 6239 = 38900165
Step 1: Find the prime factorization of 6235
6235 = 5 x 29 x 43
Step 2: Find the prime factorization of 6239
6239 = 17 x 367
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38900165 = 5 x 17 x 29 x 43 x 367
Step 4: Therefore, the least common multiple of 6235 and 6239 is 38900165.