Least Common Multiple of 12411 and 12414
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 12414 the smallest integer that is 51356718 that is divisible by both numbers.
Least Common Multiple (LCM) of 12411 and 12414 is 51356718.
LCM(12411,12414) = 51356718
LCM of 12411 and 12414
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12411 and 12414 by Prime method
- Least Common Multiple of 12411 and 12414 with GCF Formula
LCM of 12411 and 12414 is 51356718
Least common multiple can be found by multiplying the highest exponent prime factors of 12411 and 12414. First we will calculate the prime factors of 12411 and 12414.
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 12414
| 2 | 12414 |
| 3 | 6207 |
| 2069 | 2069 |
| 1 |
Prime factors of 12414 are 2, 3,2069. Prime factorization of 12414 in exponential form is:
12414 = 21×31×20691
Now multiplying the highest exponent prime factors to calculate the LCM of 12411 and 12414.
LCM(12411,12414) = 21×32×71×1971×20691
LCM(12411,12414) = 51356718
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 12414
List of positive integer factors of 12414 that divides 12414 without a remainder.
1, 2, 3, 6, 2069, 4138, 6207, 12414
Least Common Multiple of 12411 and 12414 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 12414, than apply into the LCM equation.
GCF(12411,12414) = 3
LCM(12411,12414) = ( 12411 × 12414) / 3
LCM(12411,12414) = 154070154 / 3
LCM(12411,12414) = 51356718
Properties of LCM 12411 and 12414
(i) The LCM of 12414 and 12411 is associative
LCM of 12411 and 12414 = LCM of 12414 and 12411
Related Least Common Multiples of 12411
Related Least Common Multiples of 12414
Frequently Asked Questions on LCM of 12411 and 12414
1. What is the LCM of 12411 and 12414?
Answer: LCM of 12411 and 12414 is 51356718.
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 12414?
Answer: Factors of 12414 are 1, 2, 3, 6, 2069, 4138, 6207, 12414. There are 8 integers that are factors of 12414. The greatest factor of 12414 is 12414.
4. How to Find the LCM of 12411 and 12414?
Answer:
Least Common Multiple of 12411 and 12414 = 51356718
Step 1: Find the prime factorization of 12411
12411 = 3 x 3 x 7 x 197
Step 2: Find the prime factorization of 12414
12414 = 2 x 3 x 2069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 51356718 = 2 x 3 x 3 x 7 x 197 x 2069
Step 4: Therefore, the least common multiple of 12411 and 12414 is 51356718.