Least Common Multiple of 12419 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 12419 and 12425 the smallest integer that is 154306075 that is divisible by both numbers.
Least Common Multiple (LCM) of 12419 and 12425 is 154306075.
LCM(12419,12425) = 154306075
LCM of 12419 and 12425
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 12419 and 12425 by Prime method
- Least Common Multiple of 12419 and 12425 with GCF Formula
LCM of 12419 and 12425 is 154306075
Least common multiple can be found by multiplying the highest exponent prime factors of 12419 and 12425. First we will calculate the prime factors of 12419 and 12425.
Prime Factorization of 12419
| 11 | 12419 |
| 1129 | 1129 |
| 1 |
Prime factors of 12419 are 11,1129. Prime factorization of 12419 in exponential form is:
12419 = 111×11291
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 12419 and 12425.
LCM(12419,12425) = 52×71×111×711×11291
LCM(12419,12425) = 154306075
Factors of 12419
List of positive integer factors of 12419 that divides 12419 without a remainder.
1, 11, 1129, 12419
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 12419 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 12419 and 12425, than apply into the LCM equation.
GCF(12419,12425) = 1
LCM(12419,12425) = ( 12419 × 12425) / 1
LCM(12419,12425) = 154306075 / 1
LCM(12419,12425) = 154306075
Properties of LCM 12419 and 12425
(i) The LCM of 12425 and 12419 is associative
LCM of 12419 and 12425 = LCM of 12425 and 12419
Related Least Common Multiples of 12419
Related Least Common Multiples of 12425
Frequently Asked Questions on LCM of 12419 and 12425
1. What is the LCM of 12419 and 12425?
Answer: LCM of 12419 and 12425 is 154306075.
2. What are the Factors of 12419?
Answer: Factors of 12419 are 1, 11, 1129, 12419. There are 4 integers that are factors of 12419. The greatest factor of 12419 is 12419.
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 12419 and 12425?
Answer:
Least Common Multiple of 12419 and 12425 = 154306075
Step 1: Find the prime factorization of 12419
12419 = 11 x 1129
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 = 154306075 = 5 x 5 x 7 x 11 x 71 x 1129
Step 4: Therefore, the least common multiple of 12419 and 12425 is 154306075.