Least Common Multiple of 12421 and 12427
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 12427 the smallest integer that is 154355767 that is divisible by both numbers.
Least Common Multiple (LCM) of 12421 and 12427 is 154355767.
LCM(12421,12427) = 154355767
LCM of 12421 and 12427
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12421 and 12427 by Prime method
- Least Common Multiple of 12421 and 12427 with GCF Formula
LCM of 12421 and 12427 is 154355767
Least common multiple can be found by multiplying the highest exponent prime factors of 12421 and 12427. First we will calculate the prime factors of 12421 and 12427.
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 12427
| 17 | 12427 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 12427 are 17,43. Prime factorization of 12427 in exponential form is:
12427 = 172×431
Now multiplying the highest exponent prime factors to calculate the LCM of 12421 and 12427.
LCM(12421,12427) = 172×431×124211
LCM(12421,12427) = 154355767
Factors of 12421
List of positive integer factors of 12421 that divides 12421 without a remainder.
1, 12421
Factors of 12427
List of positive integer factors of 12427 that divides 12427 without a remainder.
1, 17, 43, 289, 731, 12427
Least Common Multiple of 12421 and 12427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12421 and 12427, than apply into the LCM equation.
GCF(12421,12427) = 1
LCM(12421,12427) = ( 12421 × 12427) / 1
LCM(12421,12427) = 154355767 / 1
LCM(12421,12427) = 154355767
Properties of LCM 12421 and 12427
(i) The LCM of 12427 and 12421 is associative
LCM of 12421 and 12427 = LCM of 12427 and 12421
Related Least Common Multiples of 12421
Related Least Common Multiples of 12427
Frequently Asked Questions on LCM of 12421 and 12427
1. What is the LCM of 12421 and 12427?
Answer: LCM of 12421 and 12427 is 154355767.
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 12427?
Answer: Factors of 12427 are 1, 17, 43, 289, 731, 12427. There are 6 integers that are factors of 12427. The greatest factor of 12427 is 12427.
4. How to Find the LCM of 12421 and 12427?
Answer:
Least Common Multiple of 12421 and 12427 = 154355767
Step 1: Find the prime factorization of 12421
12421 = 12421
Step 2: Find the prime factorization of 12427
12427 = 17 x 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154355767 = 17 x 17 x 43 x 12421
Step 4: Therefore, the least common multiple of 12421 and 12427 is 154355767.