Least Common Multiple of 2419 and 2425
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2419 and 2425 the smallest integer that is 5866075 that is divisible by both numbers.
Least Common Multiple (LCM) of 2419 and 2425 is 5866075.
LCM(2419,2425) = 5866075
LCM of 2419 and 2425
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2419 and 2425 by Prime method
- Least Common Multiple of 2419 and 2425 with GCF Formula
LCM of 2419 and 2425 is 5866075
Least common multiple can be found by multiplying the highest exponent prime factors of 2419 and 2425. First we will calculate the prime factors of 2419 and 2425.
Prime Factorization of 2419
| 41 | 2419 |
| 59 | 59 |
| 1 |
Prime factors of 2419 are 41,59. Prime factorization of 2419 in exponential form is:
2419 = 411×591
Prime Factorization of 2425
| 5 | 2425 |
| 5 | 485 |
| 97 | 97 |
| 1 |
Prime factors of 2425 are 5,97. Prime factorization of 2425 in exponential form is:
2425 = 52×971
Now multiplying the highest exponent prime factors to calculate the LCM of 2419 and 2425.
LCM(2419,2425) = 52×411×591×971
LCM(2419,2425) = 5866075
Factors of 2419
List of positive integer factors of 2419 that divides 2419 without a remainder.
1, 41, 59, 2419
Factors of 2425
List of positive integer factors of 2425 that divides 2425 without a remainder.
1, 5, 25, 97, 485, 2425
Least Common Multiple of 2419 and 2425 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2419 and 2425, than apply into the LCM equation.
GCF(2419,2425) = 1
LCM(2419,2425) = ( 2419 × 2425) / 1
LCM(2419,2425) = 5866075 / 1
LCM(2419,2425) = 5866075
Properties of LCM 2419 and 2425
(i) The LCM of 2425 and 2419 is associative
LCM of 2419 and 2425 = LCM of 2425 and 2419
Related Least Common Multiples of 2419
Related Least Common Multiples of 2425
Frequently Asked Questions on LCM of 2419 and 2425
1. What is the LCM of 2419 and 2425?
Answer: LCM of 2419 and 2425 is 5866075.
2. What are the Factors of 2419?
Answer: Factors of 2419 are 1, 41, 59, 2419. There are 4 integers that are factors of 2419. The greatest factor of 2419 is 2419.
3. What are the Factors of 2425?
Answer: Factors of 2425 are 1, 5, 25, 97, 485, 2425. There are 6 integers that are factors of 2425. The greatest factor of 2425 is 2425.
4. How to Find the LCM of 2419 and 2425?
Answer:
Least Common Multiple of 2419 and 2425 = 5866075
Step 1: Find the prime factorization of 2419
2419 = 41 x 59
Step 2: Find the prime factorization of 2425
2425 = 5 x 5 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5866075 = 5 x 5 x 41 x 59 x 97
Step 4: Therefore, the least common multiple of 2419 and 2425 is 5866075.