Least Common Multiple of 31459 and 31466
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 31466 the smallest integer that is 989888894 that is divisible by both numbers.
Least Common Multiple (LCM) of 31459 and 31466 is 989888894.
LCM(31459,31466) = 989888894
LCM of 31459 and 31466
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31459 and 31466 by Prime method
- Least Common Multiple of 31459 and 31466 with GCF Formula
LCM of 31459 and 31466 is 989888894
Least common multiple can be found by multiplying the highest exponent prime factors of 31459 and 31466. First we will calculate the prime factors of 31459 and 31466.
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 31466
| 2 | 31466 |
| 15733 | 15733 |
| 1 |
Prime factors of 31466 are 2,15733. Prime factorization of 31466 in exponential form is:
31466 = 21×157331
Now multiplying the highest exponent prime factors to calculate the LCM of 31459 and 31466.
LCM(31459,31466) = 21×1631×1931×157331
LCM(31459,31466) = 989888894
Factors of 31459
List of positive integer factors of 31459 that divides 31459 without a remainder.
1, 163, 193, 31459
Factors of 31466
List of positive integer factors of 31466 that divides 31466 without a remainder.
1, 2, 15733, 31466
Least Common Multiple of 31459 and 31466 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 31466, than apply into the LCM equation.
GCF(31459,31466) = 1
LCM(31459,31466) = ( 31459 × 31466) / 1
LCM(31459,31466) = 989888894 / 1
LCM(31459,31466) = 989888894
Properties of LCM 31459 and 31466
(i) The LCM of 31466 and 31459 is associative
LCM of 31459 and 31466 = LCM of 31466 and 31459
Related Least Common Multiples of 31459
Related Least Common Multiples of 31466
Frequently Asked Questions on LCM of 31459 and 31466
1. What is the LCM of 31459 and 31466?
Answer: LCM of 31459 and 31466 is 989888894.
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 31466?
Answer: Factors of 31466 are 1, 2, 15733, 31466. There are 4 integers that are factors of 31466. The greatest factor of 31466 is 31466.
4. How to Find the LCM of 31459 and 31466?
Answer:
Least Common Multiple of 31459 and 31466 = 989888894
Step 1: Find the prime factorization of 31459
31459 = 163 x 193
Step 2: Find the prime factorization of 31466
31466 = 2 x 15733
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 989888894 = 2 x 163 x 193 x 15733
Step 4: Therefore, the least common multiple of 31459 and 31466 is 989888894.