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 12428 the smallest integer that is 154393044 that is divisible by both numbers.
Least Common Multiple (LCM) of 12423 and 12428 is 154393044.
LCM(12423,12428) = 154393044
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 12423 and 12428. First we will calculate the prime factors of 12423 and 12428.
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 12428
2 | 12428 |
2 | 6214 |
13 | 3107 |
239 | 239 |
1 |
Prime factors of 12428 are 2, 13,239. Prime factorization of 12428 in exponential form is:
12428 = 22×131×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 12423 and 12428.
LCM(12423,12428) = 22×31×131×411×1011×2391
LCM(12423,12428) = 154393044
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 12428
List of positive integer factors of 12428 that divides 12428 without a remainder.
1, 2, 4, 13, 26, 52, 239, 478, 956, 3107, 6214, 12428
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12423 and 12428, than apply into the LCM equation.
GCF(12423,12428) = 1
LCM(12423,12428) = ( 12423 × 12428) / 1
LCM(12423,12428) = 154393044 / 1
LCM(12423,12428) = 154393044
(i) The LCM of 12428 and 12423 is associative
LCM of 12423 and 12428 = LCM of 12428 and 12423
1. What is the LCM of 12423 and 12428?
Answer: LCM of 12423 and 12428 is 154393044.
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 12428?
Answer: Factors of 12428 are 1, 2, 4, 13, 26, 52, 239, 478, 956, 3107, 6214, 12428. There are 12 integers that are factors of 12428. The greatest factor of 12428 is 12428.
4. How to Find the LCM of 12423 and 12428?
Answer:
Least Common Multiple of 12423 and 12428 = 154393044
Step 1: Find the prime factorization of 12423
12423 = 3 x 41 x 101
Step 2: Find the prime factorization of 12428
12428 = 2 x 2 x 13 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 154393044 = 2 x 2 x 3 x 13 x 41 x 101 x 239
Step 4: Therefore, the least common multiple of 12423 and 12428 is 154393044.