Least Common Multiple of 31402 and 31407
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31402 and 31407 the smallest integer that is 986242614 that is divisible by both numbers.
Least Common Multiple (LCM) of 31402 and 31407 is 986242614.
LCM(31402,31407) = 986242614
LCM of 31402 and 31407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31402 and 31407 by Prime method
- Least Common Multiple of 31402 and 31407 with GCF Formula
LCM of 31402 and 31407 is 986242614
Least common multiple can be found by multiplying the highest exponent prime factors of 31402 and 31407. First we will calculate the prime factors of 31402 and 31407.
Prime Factorization of 31402
| 2 | 31402 |
| 7 | 15701 |
| 2243 | 2243 |
| 1 |
Prime factors of 31402 are 2, 7,2243. Prime factorization of 31402 in exponential form is:
31402 = 21×71×22431
Prime Factorization of 31407
| 3 | 31407 |
| 19 | 10469 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 31407 are 3, 19,29. Prime factorization of 31407 in exponential form is:
31407 = 31×192×291
Now multiplying the highest exponent prime factors to calculate the LCM of 31402 and 31407.
LCM(31402,31407) = 21×31×71×192×291×22431
LCM(31402,31407) = 986242614
Factors of 31402
List of positive integer factors of 31402 that divides 31402 without a remainder.
1, 2, 7, 14, 2243, 4486, 15701, 31402
Factors of 31407
List of positive integer factors of 31407 that divides 31407 without a remainder.
1, 3, 19, 29, 57, 87, 361, 551, 1083, 1653, 10469, 31407
Least Common Multiple of 31402 and 31407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31402 and 31407, than apply into the LCM equation.
GCF(31402,31407) = 1
LCM(31402,31407) = ( 31402 × 31407) / 1
LCM(31402,31407) = 986242614 / 1
LCM(31402,31407) = 986242614
Properties of LCM 31402 and 31407
(i) The LCM of 31407 and 31402 is associative
LCM of 31402 and 31407 = LCM of 31407 and 31402
Related Least Common Multiples of 31402
Related Least Common Multiples of 31407
Frequently Asked Questions on LCM of 31402 and 31407
1. What is the LCM of 31402 and 31407?
Answer: LCM of 31402 and 31407 is 986242614.
2. What are the Factors of 31402?
Answer: Factors of 31402 are 1, 2, 7, 14, 2243, 4486, 15701, 31402. There are 8 integers that are factors of 31402. The greatest factor of 31402 is 31402.
3. What are the Factors of 31407?
Answer: Factors of 31407 are 1, 3, 19, 29, 57, 87, 361, 551, 1083, 1653, 10469, 31407. There are 12 integers that are factors of 31407. The greatest factor of 31407 is 31407.
4. How to Find the LCM of 31402 and 31407?
Answer:
Least Common Multiple of 31402 and 31407 = 986242614
Step 1: Find the prime factorization of 31402
31402 = 2 x 7 x 2243
Step 2: Find the prime factorization of 31407
31407 = 3 x 19 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 986242614 = 2 x 3 x 7 x 19 x 19 x 29 x 2243
Step 4: Therefore, the least common multiple of 31402 and 31407 is 986242614.