Least Common Multiple of 31407 and 31414
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31407 and 31414 the smallest integer that is 986619498 that is divisible by both numbers.
Least Common Multiple (LCM) of 31407 and 31414 is 986619498.
LCM(31407,31414) = 986619498
LCM of 31407 and 31414
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31407 and 31414 by Prime method
- Least Common Multiple of 31407 and 31414 with GCF Formula
LCM of 31407 and 31414 is 986619498
Least common multiple can be found by multiplying the highest exponent prime factors of 31407 and 31414. First we will calculate the prime factors of 31407 and 31414.
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
Prime Factorization of 31414
| 2 | 31414 |
| 113 | 15707 |
| 139 | 139 |
| 1 |
Prime factors of 31414 are 2, 113,139. Prime factorization of 31414 in exponential form is:
31414 = 21×1131×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 31407 and 31414.
LCM(31407,31414) = 21×31×192×291×1131×1391
LCM(31407,31414) = 986619498
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
Factors of 31414
List of positive integer factors of 31414 that divides 31414 without a remainder.
1, 2, 113, 139, 226, 278, 15707, 31414
Least Common Multiple of 31407 and 31414 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31407 and 31414, than apply into the LCM equation.
GCF(31407,31414) = 1
LCM(31407,31414) = ( 31407 × 31414) / 1
LCM(31407,31414) = 986619498 / 1
LCM(31407,31414) = 986619498
Properties of LCM 31407 and 31414
(i) The LCM of 31414 and 31407 is associative
LCM of 31407 and 31414 = LCM of 31414 and 31407
Related Least Common Multiples of 31407
Related Least Common Multiples of 31414
Frequently Asked Questions on LCM of 31407 and 31414
1. What is the LCM of 31407 and 31414?
Answer: LCM of 31407 and 31414 is 986619498.
2. 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.
3. What are the Factors of 31414?
Answer: Factors of 31414 are 1, 2, 113, 139, 226, 278, 15707, 31414. There are 8 integers that are factors of 31414. The greatest factor of 31414 is 31414.
4. How to Find the LCM of 31407 and 31414?
Answer:
Least Common Multiple of 31407 and 31414 = 986619498
Step 1: Find the prime factorization of 31407
31407 = 3 x 19 x 19 x 29
Step 2: Find the prime factorization of 31414
31414 = 2 x 113 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 986619498 = 2 x 3 x 19 x 19 x 29 x 113 x 139
Step 4: Therefore, the least common multiple of 31407 and 31414 is 986619498.