Least Common Multiple of 31459 and 31463
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31459 and 31463 the smallest integer that is 989794517 that is divisible by both numbers.
Least Common Multiple (LCM) of 31459 and 31463 is 989794517.
LCM(31459,31463) = 989794517
LCM of 31459 and 31463
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31459 and 31463 by Prime method
- Least Common Multiple of 31459 and 31463 with GCF Formula
LCM of 31459 and 31463 is 989794517
Least common multiple can be found by multiplying the highest exponent prime factors of 31459 and 31463. First we will calculate the prime factors of 31459 and 31463.
Prime Factorization of 31459
| 163 | 31459 |
| 193 | 193 |
| 1 |
Prime factors of 31459 are 163,193. Prime factorization of 31459 in exponential form is:
31459 = 1631×1931
Prime Factorization of 31463
| 73 | 31463 |
| 431 | 431 |
| 1 |
Prime factors of 31463 are 73,431. Prime factorization of 31463 in exponential form is:
31463 = 731×4311
Now multiplying the highest exponent prime factors to calculate the LCM of 31459 and 31463.
LCM(31459,31463) = 731×1631×1931×4311
LCM(31459,31463) = 989794517
Factors of 31459
List of positive integer factors of 31459 that divides 31459 without a remainder.
1, 163, 193, 31459
Factors of 31463
List of positive integer factors of 31463 that divides 31463 without a remainder.
1, 73, 431, 31463
Least Common Multiple of 31459 and 31463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31459 and 31463, than apply into the LCM equation.
GCF(31459,31463) = 1
LCM(31459,31463) = ( 31459 × 31463) / 1
LCM(31459,31463) = 989794517 / 1
LCM(31459,31463) = 989794517
Properties of LCM 31459 and 31463
(i) The LCM of 31463 and 31459 is associative
LCM of 31459 and 31463 = LCM of 31463 and 31459
Related Least Common Multiples of 31459
Related Least Common Multiples of 31463
Frequently Asked Questions on LCM of 31459 and 31463
1. What is the LCM of 31459 and 31463?
Answer: LCM of 31459 and 31463 is 989794517.
2. What are the Factors of 31459?
Answer: Factors of 31459 are 1, 163, 193, 31459. There are 4 integers that are factors of 31459. The greatest factor of 31459 is 31459.
3. What are the Factors of 31463?
Answer: Factors of 31463 are 1, 73, 431, 31463. There are 4 integers that are factors of 31463. The greatest factor of 31463 is 31463.
4. How to Find the LCM of 31459 and 31463?
Answer:
Least Common Multiple of 31459 and 31463 = 989794517
Step 1: Find the prime factorization of 31459
31459 = 163 x 193
Step 2: Find the prime factorization of 31463
31463 = 73 x 431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 989794517 = 73 x 163 x 193 x 431
Step 4: Therefore, the least common multiple of 31459 and 31463 is 989794517.