Least Common Multiple of 31427 and 31435
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31427 and 31435 the smallest integer that is 987907745 that is divisible by both numbers.
Least Common Multiple (LCM) of 31427 and 31435 is 987907745.
LCM(31427,31435) = 987907745
LCM of 31427 and 31435
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 31427 and 31435 by Prime method
- Least Common Multiple of 31427 and 31435 with GCF Formula
LCM of 31427 and 31435 is 987907745
Least common multiple can be found by multiplying the highest exponent prime factors of 31427 and 31435. First we will calculate the prime factors of 31427 and 31435.
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
Prime Factorization of 31435
| 5 | 31435 |
| 6287 | 6287 |
| 1 |
Prime factors of 31435 are 5,6287. Prime factorization of 31435 in exponential form is:
31435 = 51×62871
Now multiplying the highest exponent prime factors to calculate the LCM of 31427 and 31435.
LCM(31427,31435) = 51×111×28571×62871
LCM(31427,31435) = 987907745
Factors of 31427
List of positive integer factors of 31427 that divides 31427 without a remainder.
1, 11, 2857, 31427
Factors of 31435
List of positive integer factors of 31435 that divides 31435 without a remainder.
1, 5, 6287, 31435
Least Common Multiple of 31427 and 31435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31427 and 31435, than apply into the LCM equation.
GCF(31427,31435) = 1
LCM(31427,31435) = ( 31427 × 31435) / 1
LCM(31427,31435) = 987907745 / 1
LCM(31427,31435) = 987907745
Properties of LCM 31427 and 31435
(i) The LCM of 31435 and 31427 is associative
LCM of 31427 and 31435 = LCM of 31435 and 31427
Related Least Common Multiples of 31427
Related Least Common Multiples of 31435
Frequently Asked Questions on LCM of 31427 and 31435
1. What is the LCM of 31427 and 31435?
Answer: LCM of 31427 and 31435 is 987907745.
2. 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.
3. What are the Factors of 31435?
Answer: Factors of 31435 are 1, 5, 6287, 31435. There are 4 integers that are factors of 31435. The greatest factor of 31435 is 31435.
4. How to Find the LCM of 31427 and 31435?
Answer:
Least Common Multiple of 31427 and 31435 = 987907745
Step 1: Find the prime factorization of 31427
31427 = 11 x 2857
Step 2: Find the prime factorization of 31435
31435 = 5 x 6287
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 987907745 = 5 x 11 x 2857 x 6287
Step 4: Therefore, the least common multiple of 31427 and 31435 is 987907745.