Least Common Multiple of 2413 and 2419
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2413 and 2419 the smallest integer that is 5837047 that is divisible by both numbers.
Least Common Multiple (LCM) of 2413 and 2419 is 5837047.
LCM(2413,2419) = 5837047
LCM of 2413 and 2419
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2413 and 2419 by Prime method
- Least Common Multiple of 2413 and 2419 with GCF Formula
LCM of 2413 and 2419 is 5837047
Least common multiple can be found by multiplying the highest exponent prime factors of 2413 and 2419. First we will calculate the prime factors of 2413 and 2419.
Prime Factorization of 2413
| 19 | 2413 |
| 127 | 127 |
| 1 |
Prime factors of 2413 are 19,127. Prime factorization of 2413 in exponential form is:
2413 = 191×1271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2413 and 2419.
LCM(2413,2419) = 191×411×591×1271
LCM(2413,2419) = 5837047
Factors of 2413
List of positive integer factors of 2413 that divides 2413 without a remainder.
1, 19, 127, 2413
Factors of 2419
List of positive integer factors of 2419 that divides 2419 without a remainder.
1, 41, 59, 2419
Least Common Multiple of 2413 and 2419 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2413 and 2419, than apply into the LCM equation.
GCF(2413,2419) = 1
LCM(2413,2419) = ( 2413 × 2419) / 1
LCM(2413,2419) = 5837047 / 1
LCM(2413,2419) = 5837047
Properties of LCM 2413 and 2419
(i) The LCM of 2419 and 2413 is associative
LCM of 2413 and 2419 = LCM of 2419 and 2413
Related Least Common Multiples of 2413
Related Least Common Multiples of 2419
Frequently Asked Questions on LCM of 2413 and 2419
1. What is the LCM of 2413 and 2419?
Answer: LCM of 2413 and 2419 is 5837047.
2. What are the Factors of 2413?
Answer: Factors of 2413 are 1, 19, 127, 2413. There are 4 integers that are factors of 2413. The greatest factor of 2413 is 2413.
3. 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.
4. How to Find the LCM of 2413 and 2419?
Answer:
Least Common Multiple of 2413 and 2419 = 5837047
Step 1: Find the prime factorization of 2413
2413 = 19 x 127
Step 2: Find the prime factorization of 2419
2419 = 41 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5837047 = 19 x 41 x 59 x 127
Step 4: Therefore, the least common multiple of 2413 and 2419 is 5837047.
