Least Common Multiple of 2402 and 2407
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2402 and 2407 the smallest integer that is 5781614 that is divisible by both numbers.
Least Common Multiple (LCM) of 2402 and 2407 is 5781614.
LCM(2402,2407) = 5781614
LCM of 2402 and 2407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2402 and 2407 by Prime method
- Least Common Multiple of 2402 and 2407 with GCF Formula
LCM of 2402 and 2407 is 5781614
Least common multiple can be found by multiplying the highest exponent prime factors of 2402 and 2407. First we will calculate the prime factors of 2402 and 2407.
Prime Factorization of 2402
| 2 | 2402 |
| 1201 | 1201 |
| 1 |
Prime factors of 2402 are 2,1201. Prime factorization of 2402 in exponential form is:
2402 = 21×12011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 2402 and 2407.
LCM(2402,2407) = 21×291×831×12011
LCM(2402,2407) = 5781614
Factors of 2402
List of positive integer factors of 2402 that divides 2402 without a remainder.
1, 2, 1201, 2402
Factors of 2407
List of positive integer factors of 2407 that divides 2407 without a remainder.
1, 29, 83, 2407
Least Common Multiple of 2402 and 2407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2402 and 2407, than apply into the LCM equation.
GCF(2402,2407) = 1
LCM(2402,2407) = ( 2402 × 2407) / 1
LCM(2402,2407) = 5781614 / 1
LCM(2402,2407) = 5781614
Properties of LCM 2402 and 2407
(i) The LCM of 2407 and 2402 is associative
LCM of 2402 and 2407 = LCM of 2407 and 2402
Related Least Common Multiples of 2402
Related Least Common Multiples of 2407
Frequently Asked Questions on LCM of 2402 and 2407
1. What is the LCM of 2402 and 2407?
Answer: LCM of 2402 and 2407 is 5781614.
2. What are the Factors of 2402?
Answer: Factors of 2402 are 1, 2, 1201, 2402. There are 4 integers that are factors of 2402. The greatest factor of 2402 is 2402.
3. 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.
4. How to Find the LCM of 2402 and 2407?
Answer:
Least Common Multiple of 2402 and 2407 = 5781614
Step 1: Find the prime factorization of 2402
2402 = 2 x 1201
Step 2: Find the prime factorization of 2407
2407 = 29 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5781614 = 2 x 29 x 83 x 1201
Step 4: Therefore, the least common multiple of 2402 and 2407 is 5781614.