Least Common Multiple of 12411 and 12415
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12411 and 12415 the smallest integer that is 154082565 that is divisible by both numbers.
Least Common Multiple (LCM) of 12411 and 12415 is 154082565.
LCM(12411,12415) = 154082565
LCM of 12411 and 12415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12411 and 12415 by Prime method
- Least Common Multiple of 12411 and 12415 with GCF Formula
LCM of 12411 and 12415 is 154082565
Least common multiple can be found by multiplying the highest exponent prime factors of 12411 and 12415. First we will calculate the prime factors of 12411 and 12415.
Prime Factorization of 12411
| 3 | 12411 |
| 3 | 4137 |
| 7 | 1379 |
| 197 | 197 |
| 1 |
Prime factors of 12411 are 3, 7,197. Prime factorization of 12411 in exponential form is:
12411 = 32×71×1971
Prime Factorization of 12415
| 5 | 12415 |
| 13 | 2483 |
| 191 | 191 |
| 1 |
Prime factors of 12415 are 5, 13,191. Prime factorization of 12415 in exponential form is:
12415 = 51×131×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 12411 and 12415.
LCM(12411,12415) = 32×51×71×131×1911×1971
LCM(12411,12415) = 154082565
Factors of 12411
List of positive integer factors of 12411 that divides 12411 without a remainder.
1, 3, 7, 9, 21, 63, 197, 591, 1379, 1773, 4137, 12411
Factors of 12415
List of positive integer factors of 12415 that divides 12415 without a remainder.
1, 5, 13, 65, 191, 955, 2483, 12415
Least Common Multiple of 12411 and 12415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12411 and 12415, than apply into the LCM equation.
GCF(12411,12415) = 1
LCM(12411,12415) = ( 12411 × 12415) / 1
LCM(12411,12415) = 154082565 / 1
LCM(12411,12415) = 154082565
Properties of LCM 12411 and 12415
(i) The LCM of 12415 and 12411 is associative
LCM of 12411 and 12415 = LCM of 12415 and 12411
Related Least Common Multiples of 12411
Related Least Common Multiples of 12415
Frequently Asked Questions on LCM of 12411 and 12415
1. What is the LCM of 12411 and 12415?
Answer: LCM of 12411 and 12415 is 154082565.
2. What are the Factors of 12411?
Answer: Factors of 12411 are 1, 3, 7, 9, 21, 63, 197, 591, 1379, 1773, 4137, 12411. There are 12 integers that are factors of 12411. The greatest factor of 12411 is 12411.
3. What are the Factors of 12415?
Answer: Factors of 12415 are 1, 5, 13, 65, 191, 955, 2483, 12415. There are 8 integers that are factors of 12415. The greatest factor of 12415 is 12415.
4. How to Find the LCM of 12411 and 12415?
Answer:
Least Common Multiple of 12411 and 12415 = 154082565
Step 1: Find the prime factorization of 12411
12411 = 3 x 3 x 7 x 197
Step 2: Find the prime factorization of 12415
12415 = 5 x 13 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154082565 = 3 x 3 x 5 x 7 x 13 x 191 x 197
Step 4: Therefore, the least common multiple of 12411 and 12415 is 154082565.