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 12413 the smallest integer that is 154057743 that is divisible by both numbers.
Least Common Multiple (LCM) of 12411 and 12413 is 154057743.
LCM(12411,12413) = 154057743
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 12411 and 12413. First we will calculate the prime factors of 12411 and 12413.
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 12413
12413 | 12413 |
1 |
Prime factors of 12413 are 12413. Prime factorization of 12413 in exponential form is:
12413 = 124131
Now multiplying the highest exponent prime factors to calculate the LCM of 12411 and 12413.
LCM(12411,12413) = 32×71×1971×124131
LCM(12411,12413) = 154057743
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 12413
List of positive integer factors of 12413 that divides 12413 without a remainder.
1, 12413
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12411 and 12413, than apply into the LCM equation.
GCF(12411,12413) = 1
LCM(12411,12413) = ( 12411 × 12413) / 1
LCM(12411,12413) = 154057743 / 1
LCM(12411,12413) = 154057743
(i) The LCM of 12413 and 12411 is associative
LCM of 12411 and 12413 = LCM of 12413 and 12411
1. What is the LCM of 12411 and 12413?
Answer: LCM of 12411 and 12413 is 154057743.
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 12413?
Answer: Factors of 12413 are 1, 12413. There are 2 integers that are factors of 12413. The greatest factor of 12413 is 12413.
4. How to Find the LCM of 12411 and 12413?
Answer:
Least Common Multiple of 12411 and 12413 = 154057743
Step 1: Find the prime factorization of 12411
12411 = 3 x 3 x 7 x 197
Step 2: Find the prime factorization of 12413
12413 = 12413
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154057743 = 3 x 3 x 7 x 197 x 12413
Step 4: Therefore, the least common multiple of 12411 and 12413 is 154057743.