Least Common Multiple of 6235 and 6241
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 6241 the smallest integer that is 38912635 that is divisible by both numbers.
Least Common Multiple (LCM) of 6235 and 6241 is 38912635.
LCM(6235,6241) = 38912635
LCM of 6235 and 6241
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6235 and 6241 by Prime method
- Least Common Multiple of 6235 and 6241 with GCF Formula
LCM of 6235 and 6241 is 38912635
Least common multiple can be found by multiplying the highest exponent prime factors of 6235 and 6241. First we will calculate the prime factors of 6235 and 6241.
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 6241
| 79 | 6241 |
| 79 | 79 |
| 1 |
Prime factors of 6241 are 79. Prime factorization of 6241 in exponential form is:
6241 = 792
Now multiplying the highest exponent prime factors to calculate the LCM of 6235 and 6241.
LCM(6235,6241) = 51×291×431×792
LCM(6235,6241) = 38912635
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 6241
List of positive integer factors of 6241 that divides 6241 without a remainder.
1, 79, 6241
Least Common Multiple of 6235 and 6241 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 6241, than apply into the LCM equation.
GCF(6235,6241) = 1
LCM(6235,6241) = ( 6235 × 6241) / 1
LCM(6235,6241) = 38912635 / 1
LCM(6235,6241) = 38912635
Properties of LCM 6235 and 6241
(i) The LCM of 6241 and 6235 is associative
LCM of 6235 and 6241 = LCM of 6241 and 6235
Related Least Common Multiples of 6235
Related Least Common Multiples of 6241
Frequently Asked Questions on LCM of 6235 and 6241
1. What is the LCM of 6235 and 6241?
Answer: LCM of 6235 and 6241 is 38912635.
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 6241?
Answer: Factors of 6241 are 1, 79, 6241. There are 3 integers that are factors of 6241. The greatest factor of 6241 is 6241.
4. How to Find the LCM of 6235 and 6241?
Answer:
Least Common Multiple of 6235 and 6241 = 38912635
Step 1: Find the prime factorization of 6235
6235 = 5 x 29 x 43
Step 2: Find the prime factorization of 6241
6241 = 79 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38912635 = 5 x 29 x 43 x 79 x 79
Step 4: Therefore, the least common multiple of 6235 and 6241 is 38912635.