Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12421 and 12429 the smallest integer that is 154380609 that is divisible by both numbers.
Least Common Multiple (LCM) of 12421 and 12429 is 154380609.
LCM(12421,12429) = 154380609
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 12421 and 12429. First we will calculate the prime factors of 12421 and 12429.
Prime Factorization of 12421
12421 | 12421 |
1 |
Prime factors of 12421 are 12421. Prime factorization of 12421 in exponential form is:
12421 = 124211
Prime Factorization of 12429
3 | 12429 |
3 | 4143 |
1381 | 1381 |
1 |
Prime factors of 12429 are 3,1381. Prime factorization of 12429 in exponential form is:
12429 = 32×13811
Now multiplying the highest exponent prime factors to calculate the LCM of 12421 and 12429.
LCM(12421,12429) = 32×13811×124211
LCM(12421,12429) = 154380609
Factors of 12421
List of positive integer factors of 12421 that divides 12421 without a remainder.
1, 12421
Factors of 12429
List of positive integer factors of 12429 that divides 12429 without a remainder.
1, 3, 9, 1381, 4143, 12429
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12421 and 12429, than apply into the LCM equation.
GCF(12421,12429) = 1
LCM(12421,12429) = ( 12421 × 12429) / 1
LCM(12421,12429) = 154380609 / 1
LCM(12421,12429) = 154380609
(i) The LCM of 12429 and 12421 is associative
LCM of 12421 and 12429 = LCM of 12429 and 12421
1. What is the LCM of 12421 and 12429?
Answer: LCM of 12421 and 12429 is 154380609.
2. What are the Factors of 12421?
Answer: Factors of 12421 are 1, 12421. There are 2 integers that are factors of 12421. The greatest factor of 12421 is 12421.
3. What are the Factors of 12429?
Answer: Factors of 12429 are 1, 3, 9, 1381, 4143, 12429. There are 6 integers that are factors of 12429. The greatest factor of 12429 is 12429.
4. How to Find the LCM of 12421 and 12429?
Answer:
Least Common Multiple of 12421 and 12429 = 154380609
Step 1: Find the prime factorization of 12421
12421 = 12421
Step 2: Find the prime factorization of 12429
12429 = 3 x 3 x 1381
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154380609 = 3 x 3 x 1381 x 12421
Step 4: Therefore, the least common multiple of 12421 and 12429 is 154380609.