Least Common Multiple of 15241 and 15247
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15241 and 15247 the smallest integer that is 232379527 that is divisible by both numbers.
Least Common Multiple (LCM) of 15241 and 15247 is 232379527.
LCM(15241,15247) = 232379527
LCM of 15241 and 15247
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15241 and 15247 by Prime method
- Least Common Multiple of 15241 and 15247 with GCF Formula
LCM of 15241 and 15247 is 232379527
Least common multiple can be found by multiplying the highest exponent prime factors of 15241 and 15247. First we will calculate the prime factors of 15241 and 15247.
Prime Factorization of 15241
| 15241 | 15241 |
| 1 |
Prime factors of 15241 are 15241. Prime factorization of 15241 in exponential form is:
15241 = 152411
Prime Factorization of 15247
| 79 | 15247 |
| 193 | 193 |
| 1 |
Prime factors of 15247 are 79,193. Prime factorization of 15247 in exponential form is:
15247 = 791×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 15241 and 15247.
LCM(15241,15247) = 791×1931×152411
LCM(15241,15247) = 232379527
Factors of 15241
List of positive integer factors of 15241 that divides 15241 without a remainder.
1, 15241
Factors of 15247
List of positive integer factors of 15247 that divides 15247 without a remainder.
1, 79, 193, 15247
Least Common Multiple of 15241 and 15247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15241 and 15247, than apply into the LCM equation.
GCF(15241,15247) = 1
LCM(15241,15247) = ( 15241 × 15247) / 1
LCM(15241,15247) = 232379527 / 1
LCM(15241,15247) = 232379527
Properties of LCM 15241 and 15247
(i) The LCM of 15247 and 15241 is associative
LCM of 15241 and 15247 = LCM of 15247 and 15241
Related Least Common Multiples of 15241
Related Least Common Multiples of 15247
Frequently Asked Questions on LCM of 15241 and 15247
1. What is the LCM of 15241 and 15247?
Answer: LCM of 15241 and 15247 is 232379527.
2. 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.
3. What are the Factors of 15247?
Answer: Factors of 15247 are 1, 79, 193, 15247. There are 4 integers that are factors of 15247. The greatest factor of 15247 is 15247.
4. How to Find the LCM of 15241 and 15247?
Answer:
Least Common Multiple of 15241 and 15247 = 232379527
Step 1: Find the prime factorization of 15241
15241 = 15241
Step 2: Find the prime factorization of 15247
15247 = 79 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 232379527 = 79 x 193 x 15241
Step 4: Therefore, the least common multiple of 15241 and 15247 is 232379527.