Least Common Multiple of 12418 and 12425
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 12418 and 12425 the smallest integer that is 22041950 that is divisible by both numbers.
Least Common Multiple (LCM) of 12418 and 12425 is 22041950.
LCM(12418,12425) = 22041950
LCM of 12418 and 12425
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12418 and 12425 by Prime method
- Least Common Multiple of 12418 and 12425 with GCF Formula
LCM of 12418 and 12425 is 22041950
Least common multiple can be found by multiplying the highest exponent prime factors of 12418 and 12425. First we will calculate the prime factors of 12418 and 12425.
Prime Factorization of 12418
| 2 | 12418 |
| 7 | 6209 |
| 887 | 887 |
| 1 |
Prime factors of 12418 are 2, 7,887. Prime factorization of 12418 in exponential form is:
12418 = 21×71×8871
Prime Factorization of 12425
| 5 | 12425 |
| 5 | 2485 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 12425 are 5, 7,71. Prime factorization of 12425 in exponential form is:
12425 = 52×71×711
Now multiplying the highest exponent prime factors to calculate the LCM of 12418 and 12425.
LCM(12418,12425) = 21×52×71×711×8871
LCM(12418,12425) = 22041950
Factors of 12418
List of positive integer factors of 12418 that divides 12418 without a remainder.
1, 2, 7, 14, 887, 1774, 6209, 12418
Factors of 12425
List of positive integer factors of 12425 that divides 12425 without a remainder.
1, 5, 7, 25, 35, 71, 175, 355, 497, 1775, 2485, 12425
Least Common Multiple of 12418 and 12425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12418 and 12425, than apply into the LCM equation.
GCF(12418,12425) = 7
LCM(12418,12425) = ( 12418 × 12425) / 7
LCM(12418,12425) = 154293650 / 7
LCM(12418,12425) = 22041950
Properties of LCM 12418 and 12425
(i) The LCM of 12425 and 12418 is associative
LCM of 12418 and 12425 = LCM of 12425 and 12418
Related Least Common Multiples of 12418
Related Least Common Multiples of 12425
Frequently Asked Questions on LCM of 12418 and 12425
1. What is the LCM of 12418 and 12425?
Answer: LCM of 12418 and 12425 is 22041950.
2. What are the Factors of 12418?
Answer: Factors of 12418 are 1, 2, 7, 14, 887, 1774, 6209, 12418. There are 8 integers that are factors of 12418. The greatest factor of 12418 is 12418.
3. What are the Factors of 12425?
Answer: Factors of 12425 are 1, 5, 7, 25, 35, 71, 175, 355, 497, 1775, 2485, 12425. There are 12 integers that are factors of 12425. The greatest factor of 12425 is 12425.
4. How to Find the LCM of 12418 and 12425?
Answer:
Least Common Multiple of 12418 and 12425 = 22041950
Step 1: Find the prime factorization of 12418
12418 = 2 x 7 x 887
Step 2: Find the prime factorization of 12425
12425 = 5 x 5 x 7 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 22041950 = 2 x 5 x 5 x 7 x 71 x 887
Step 4: Therefore, the least common multiple of 12418 and 12425 is 22041950.