Least Common Multiple of 15411 and 15415
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15411 and 15415 the smallest integer that is 237560565 that is divisible by both numbers.
Least Common Multiple (LCM) of 15411 and 15415 is 237560565.
LCM(15411,15415) = 237560565
LCM of 15411 and 15415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15411 and 15415 by Prime method
- Least Common Multiple of 15411 and 15415 with GCF Formula
LCM of 15411 and 15415 is 237560565
Least common multiple can be found by multiplying the highest exponent prime factors of 15411 and 15415. First we will calculate the prime factors of 15411 and 15415.
Prime Factorization of 15411
| 3 | 15411 |
| 11 | 5137 |
| 467 | 467 |
| 1 |
Prime factors of 15411 are 3, 11,467. Prime factorization of 15411 in exponential form is:
15411 = 31×111×4671
Prime Factorization of 15415
| 5 | 15415 |
| 3083 | 3083 |
| 1 |
Prime factors of 15415 are 5,3083. Prime factorization of 15415 in exponential form is:
15415 = 51×30831
Now multiplying the highest exponent prime factors to calculate the LCM of 15411 and 15415.
LCM(15411,15415) = 31×51×111×4671×30831
LCM(15411,15415) = 237560565
Factors of 15411
List of positive integer factors of 15411 that divides 15411 without a remainder.
1, 3, 11, 33, 467, 1401, 5137, 15411
Factors of 15415
List of positive integer factors of 15415 that divides 15415 without a remainder.
1, 5, 3083, 15415
Least Common Multiple of 15411 and 15415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15411 and 15415, than apply into the LCM equation.
GCF(15411,15415) = 1
LCM(15411,15415) = ( 15411 × 15415) / 1
LCM(15411,15415) = 237560565 / 1
LCM(15411,15415) = 237560565
Properties of LCM 15411 and 15415
(i) The LCM of 15415 and 15411 is associative
LCM of 15411 and 15415 = LCM of 15415 and 15411
Related Least Common Multiples of 15411
Related Least Common Multiples of 15415
Frequently Asked Questions on LCM of 15411 and 15415
1. What is the LCM of 15411 and 15415?
Answer: LCM of 15411 and 15415 is 237560565.
2. What are the Factors of 15411?
Answer: Factors of 15411 are 1, 3, 11, 33, 467, 1401, 5137, 15411. There are 8 integers that are factors of 15411. The greatest factor of 15411 is 15411.
3. What are the Factors of 15415?
Answer: Factors of 15415 are 1, 5, 3083, 15415. There are 4 integers that are factors of 15415. The greatest factor of 15415 is 15415.
4. How to Find the LCM of 15411 and 15415?
Answer:
Least Common Multiple of 15411 and 15415 = 237560565
Step 1: Find the prime factorization of 15411
15411 = 3 x 11 x 467
Step 2: Find the prime factorization of 15415
15415 = 5 x 3083
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 237560565 = 3 x 5 x 11 x 467 x 3083
Step 4: Therefore, the least common multiple of 15411 and 15415 is 237560565.