Least Common Multiple of 15235 and 15241
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15235 and 15241 the smallest integer that is 232196635 that is divisible by both numbers.
Least Common Multiple (LCM) of 15235 and 15241 is 232196635.
LCM(15235,15241) = 232196635
LCM of 15235 and 15241
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15235 and 15241 by Prime method
- Least Common Multiple of 15235 and 15241 with GCF Formula
LCM of 15235 and 15241 is 232196635
Least common multiple can be found by multiplying the highest exponent prime factors of 15235 and 15241. First we will calculate the prime factors of 15235 and 15241.
Prime Factorization of 15235
| 5 | 15235 |
| 11 | 3047 |
| 277 | 277 |
| 1 |
Prime factors of 15235 are 5, 11,277. Prime factorization of 15235 in exponential form is:
15235 = 51×111×2771
Prime Factorization of 15241
| 15241 | 15241 |
| 1 |
Prime factors of 15241 are 15241. Prime factorization of 15241 in exponential form is:
15241 = 152411
Now multiplying the highest exponent prime factors to calculate the LCM of 15235 and 15241.
LCM(15235,15241) = 51×111×2771×152411
LCM(15235,15241) = 232196635
Factors of 15235
List of positive integer factors of 15235 that divides 15235 without a remainder.
1, 5, 11, 55, 277, 1385, 3047, 15235
Factors of 15241
List of positive integer factors of 15241 that divides 15241 without a remainder.
1, 15241
Least Common Multiple of 15235 and 15241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15235 and 15241, than apply into the LCM equation.
GCF(15235,15241) = 1
LCM(15235,15241) = ( 15235 × 15241) / 1
LCM(15235,15241) = 232196635 / 1
LCM(15235,15241) = 232196635
Properties of LCM 15235 and 15241
(i) The LCM of 15241 and 15235 is associative
LCM of 15235 and 15241 = LCM of 15241 and 15235
Related Least Common Multiples of 15235
Related Least Common Multiples of 15241
Frequently Asked Questions on LCM of 15235 and 15241
1. What is the LCM of 15235 and 15241?
Answer: LCM of 15235 and 15241 is 232196635.
2. What are the Factors of 15235?
Answer: Factors of 15235 are 1, 5, 11, 55, 277, 1385, 3047, 15235. There are 8 integers that are factors of 15235. The greatest factor of 15235 is 15235.
3. What are the Factors of 15241?
Answer: Factors of 15241 are 1, 15241. There are 2 integers that are factors of 15241. The greatest factor of 15241 is 15241.
4. How to Find the LCM of 15235 and 15241?
Answer:
Least Common Multiple of 15235 and 15241 = 232196635
Step 1: Find the prime factorization of 15235
15235 = 5 x 11 x 277
Step 2: Find the prime factorization of 15241
15241 = 15241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 232196635 = 5 x 11 x 277 x 15241
Step 4: Therefore, the least common multiple of 15235 and 15241 is 232196635.