Least Common Multiple of 31423 and 31430
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31423 and 31430 the smallest integer that is 141089270 that is divisible by both numbers.
Least Common Multiple (LCM) of 31423 and 31430 is 141089270.
LCM(31423,31430) = 141089270
LCM of 31423 and 31430
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31423 and 31430 by Prime method
- Least Common Multiple of 31423 and 31430 with GCF Formula
LCM of 31423 and 31430 is 141089270
Least common multiple can be found by multiplying the highest exponent prime factors of 31423 and 31430. First we will calculate the prime factors of 31423 and 31430.
Prime Factorization of 31423
| 7 | 31423 |
| 67 | 4489 |
| 67 | 67 |
| 1 |
Prime factors of 31423 are 7,67. Prime factorization of 31423 in exponential form is:
31423 = 71×672
Prime Factorization of 31430
| 2 | 31430 |
| 5 | 15715 |
| 7 | 3143 |
| 449 | 449 |
| 1 |
Prime factors of 31430 are 2, 5, 7,449. Prime factorization of 31430 in exponential form is:
31430 = 21×51×71×4491
Now multiplying the highest exponent prime factors to calculate the LCM of 31423 and 31430.
LCM(31423,31430) = 21×51×71×672×4491
LCM(31423,31430) = 141089270
Factors of 31423
List of positive integer factors of 31423 that divides 31423 without a remainder.
1, 7, 67, 469, 4489, 31423
Factors of 31430
List of positive integer factors of 31430 that divides 31430 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 449, 898, 2245, 3143, 4490, 6286, 15715, 31430
Least Common Multiple of 31423 and 31430 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31423 and 31430, than apply into the LCM equation.
GCF(31423,31430) = 7
LCM(31423,31430) = ( 31423 × 31430) / 7
LCM(31423,31430) = 987624890 / 7
LCM(31423,31430) = 141089270
Properties of LCM 31423 and 31430
(i) The LCM of 31430 and 31423 is associative
LCM of 31423 and 31430 = LCM of 31430 and 31423
Related Least Common Multiples of 31423
Related Least Common Multiples of 31430
Frequently Asked Questions on LCM of 31423 and 31430
1. What is the LCM of 31423 and 31430?
Answer: LCM of 31423 and 31430 is 141089270.
2. What are the Factors of 31423?
Answer: Factors of 31423 are 1, 7, 67, 469, 4489, 31423. There are 6 integers that are factors of 31423. The greatest factor of 31423 is 31423.
3. What are the Factors of 31430?
Answer: Factors of 31430 are 1, 2, 5, 7, 10, 14, 35, 70, 449, 898, 2245, 3143, 4490, 6286, 15715, 31430. There are 16 integers that are factors of 31430. The greatest factor of 31430 is 31430.
4. How to Find the LCM of 31423 and 31430?
Answer:
Least Common Multiple of 31423 and 31430 = 141089270
Step 1: Find the prime factorization of 31423
31423 = 7 x 67 x 67
Step 2: Find the prime factorization of 31430
31430 = 2 x 5 x 7 x 449
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 141089270 = 2 x 5 x 7 x 67 x 67 x 449
Step 4: Therefore, the least common multiple of 31423 and 31430 is 141089270.