Least Common Multiple of 31407 and 31411
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 31411 the smallest integer that is 986525277 that is divisible by both numbers.
Least Common Multiple (LCM) of 31407 and 31411 is 986525277.
LCM(31407,31411) = 986525277
LCM of 31407 and 31411
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31407 and 31411 by Prime method
- Least Common Multiple of 31407 and 31411 with GCF Formula
LCM of 31407 and 31411 is 986525277
Least common multiple can be found by multiplying the highest exponent prime factors of 31407 and 31411. First we will calculate the prime factors of 31407 and 31411.
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 31411
| 101 | 31411 |
| 311 | 311 |
| 1 |
Prime factors of 31411 are 101,311. Prime factorization of 31411 in exponential form is:
31411 = 1011×3111
Now multiplying the highest exponent prime factors to calculate the LCM of 31407 and 31411.
LCM(31407,31411) = 31×192×291×1011×3111
LCM(31407,31411) = 986525277
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 31411
List of positive integer factors of 31411 that divides 31411 without a remainder.
1, 101, 311, 31411
Least Common Multiple of 31407 and 31411 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 31411, than apply into the LCM equation.
GCF(31407,31411) = 1
LCM(31407,31411) = ( 31407 × 31411) / 1
LCM(31407,31411) = 986525277 / 1
LCM(31407,31411) = 986525277
Properties of LCM 31407 and 31411
(i) The LCM of 31411 and 31407 is associative
LCM of 31407 and 31411 = LCM of 31411 and 31407
Related Least Common Multiples of 31407
Related Least Common Multiples of 31411
Frequently Asked Questions on LCM of 31407 and 31411
1. What is the LCM of 31407 and 31411?
Answer: LCM of 31407 and 31411 is 986525277.
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 31411?
Answer: Factors of 31411 are 1, 101, 311, 31411. There are 4 integers that are factors of 31411. The greatest factor of 31411 is 31411.
4. How to Find the LCM of 31407 and 31411?
Answer:
Least Common Multiple of 31407 and 31411 = 986525277
Step 1: Find the prime factorization of 31407
31407 = 3 x 19 x 19 x 29
Step 2: Find the prime factorization of 31411
31411 = 101 x 311
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 986525277 = 3 x 19 x 19 x 29 x 101 x 311
Step 4: Therefore, the least common multiple of 31407 and 31411 is 986525277.