Least Common Multiple of 12423 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 12423 and 12427 the smallest integer that is 154380621 that is divisible by both numbers.
Least Common Multiple (LCM) of 12423 and 12427 is 154380621.
LCM(12423,12427) = 154380621
LCM of 12423 and 12427
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12423 and 12427 by Prime method
- Least Common Multiple of 12423 and 12427 with GCF Formula
LCM of 12423 and 12427 is 154380621
Least common multiple can be found by multiplying the highest exponent prime factors of 12423 and 12427. First we will calculate the prime factors of 12423 and 12427.
Prime Factorization of 12423
| 3 | 12423 |
| 41 | 4141 |
| 101 | 101 |
| 1 |
Prime factors of 12423 are 3, 41,101. Prime factorization of 12423 in exponential form is:
12423 = 31×411×1011
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 12423 and 12427.
LCM(12423,12427) = 31×172×411×431×1011
LCM(12423,12427) = 154380621
Factors of 12423
List of positive integer factors of 12423 that divides 12423 without a remainder.
1, 3, 41, 101, 123, 303, 4141, 12423
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 12423 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 12423 and 12427, than apply into the LCM equation.
GCF(12423,12427) = 1
LCM(12423,12427) = ( 12423 × 12427) / 1
LCM(12423,12427) = 154380621 / 1
LCM(12423,12427) = 154380621
Properties of LCM 12423 and 12427
(i) The LCM of 12427 and 12423 is associative
LCM of 12423 and 12427 = LCM of 12427 and 12423
Related Least Common Multiples of 12423
Related Least Common Multiples of 12427
Frequently Asked Questions on LCM of 12423 and 12427
1. What is the LCM of 12423 and 12427?
Answer: LCM of 12423 and 12427 is 154380621.
2. What are the Factors of 12423?
Answer: Factors of 12423 are 1, 3, 41, 101, 123, 303, 4141, 12423. There are 8 integers that are factors of 12423. The greatest factor of 12423 is 12423.
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 12423 and 12427?
Answer:
Least Common Multiple of 12423 and 12427 = 154380621
Step 1: Find the prime factorization of 12423
12423 = 3 x 41 x 101
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 = 154380621 = 3 x 17 x 17 x 41 x 43 x 101
Step 4: Therefore, the least common multiple of 12423 and 12427 is 154380621.