Least Common Multiple of 31423 and 31427
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 31427 the smallest integer that is 987530621 that is divisible by both numbers.
Least Common Multiple (LCM) of 31423 and 31427 is 987530621.
LCM(31423,31427) = 987530621
LCM of 31423 and 31427
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31423 and 31427 by Prime method
- Least Common Multiple of 31423 and 31427 with GCF Formula
LCM of 31423 and 31427 is 987530621
Least common multiple can be found by multiplying the highest exponent prime factors of 31423 and 31427. First we will calculate the prime factors of 31423 and 31427.
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 31427
| 11 | 31427 |
| 2857 | 2857 |
| 1 |
Prime factors of 31427 are 11,2857. Prime factorization of 31427 in exponential form is:
31427 = 111×28571
Now multiplying the highest exponent prime factors to calculate the LCM of 31423 and 31427.
LCM(31423,31427) = 71×111×672×28571
LCM(31423,31427) = 987530621
Factors of 31423
List of positive integer factors of 31423 that divides 31423 without a remainder.
1, 7, 67, 469, 4489, 31423
Factors of 31427
List of positive integer factors of 31427 that divides 31427 without a remainder.
1, 11, 2857, 31427
Least Common Multiple of 31423 and 31427 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 31427, than apply into the LCM equation.
GCF(31423,31427) = 1
LCM(31423,31427) = ( 31423 × 31427) / 1
LCM(31423,31427) = 987530621 / 1
LCM(31423,31427) = 987530621
Properties of LCM 31423 and 31427
(i) The LCM of 31427 and 31423 is associative
LCM of 31423 and 31427 = LCM of 31427 and 31423
Related Least Common Multiples of 31423
Related Least Common Multiples of 31427
Frequently Asked Questions on LCM of 31423 and 31427
1. What is the LCM of 31423 and 31427?
Answer: LCM of 31423 and 31427 is 987530621.
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 31427?
Answer: Factors of 31427 are 1, 11, 2857, 31427. There are 4 integers that are factors of 31427. The greatest factor of 31427 is 31427.
4. How to Find the LCM of 31423 and 31427?
Answer:
Least Common Multiple of 31423 and 31427 = 987530621
Step 1: Find the prime factorization of 31423
31423 = 7 x 67 x 67
Step 2: Find the prime factorization of 31427
31427 = 11 x 2857
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 987530621 = 7 x 11 x 67 x 67 x 2857
Step 4: Therefore, the least common multiple of 31423 and 31427 is 987530621.