Least Common Multiple of 2407 and 2413
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2407 and 2413 the smallest integer that is 5808091 that is divisible by both numbers.
Least Common Multiple (LCM) of 2407 and 2413 is 5808091.
LCM(2407,2413) = 5808091
LCM of 2407 and 2413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2407 and 2413 by Prime method
- Least Common Multiple of 2407 and 2413 with GCF Formula
LCM of 2407 and 2413 is 5808091
Least common multiple can be found by multiplying the highest exponent prime factors of 2407 and 2413. First we will calculate the prime factors of 2407 and 2413.
Prime Factorization of 2407
| 29 | 2407 |
| 83 | 83 |
| 1 |
Prime factors of 2407 are 29,83. Prime factorization of 2407 in exponential form is:
2407 = 291×831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2407 and 2413.
LCM(2407,2413) = 191×291×831×1271
LCM(2407,2413) = 5808091
Factors of 2407
List of positive integer factors of 2407 that divides 2407 without a remainder.
1, 29, 83, 2407
Factors of 2413
List of positive integer factors of 2413 that divides 2413 without a remainder.
1, 19, 127, 2413
Least Common Multiple of 2407 and 2413 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2407 and 2413, than apply into the LCM equation.
GCF(2407,2413) = 1
LCM(2407,2413) = ( 2407 × 2413) / 1
LCM(2407,2413) = 5808091 / 1
LCM(2407,2413) = 5808091
Properties of LCM 2407 and 2413
(i) The LCM of 2413 and 2407 is associative
LCM of 2407 and 2413 = LCM of 2413 and 2407
Related Least Common Multiples of 2407
Related Least Common Multiples of 2413
Frequently Asked Questions on LCM of 2407 and 2413
1. What is the LCM of 2407 and 2413?
Answer: LCM of 2407 and 2413 is 5808091.
2. What are the Factors of 2407?
Answer: Factors of 2407 are 1, 29, 83, 2407. There are 4 integers that are factors of 2407. The greatest factor of 2407 is 2407.
3. 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.
4. How to Find the LCM of 2407 and 2413?
Answer:
Least Common Multiple of 2407 and 2413 = 5808091
Step 1: Find the prime factorization of 2407
2407 = 29 x 83
Step 2: Find the prime factorization of 2413
2413 = 19 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5808091 = 19 x 29 x 83 x 127
Step 4: Therefore, the least common multiple of 2407 and 2413 is 5808091.
