Least Common Multiple of 9427 and 9434
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9427 and 9434 the smallest integer that is 88934318 that is divisible by both numbers.
Least Common Multiple (LCM) of 9427 and 9434 is 88934318.
LCM(9427,9434) = 88934318
LCM of 9427 and 9434
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9427 and 9434 by Prime method
- Least Common Multiple of 9427 and 9434 with GCF Formula
LCM of 9427 and 9434 is 88934318
Least common multiple can be found by multiplying the highest exponent prime factors of 9427 and 9434. First we will calculate the prime factors of 9427 and 9434.
Prime Factorization of 9427
| 11 | 9427 |
| 857 | 857 |
| 1 |
Prime factors of 9427 are 11,857. Prime factorization of 9427 in exponential form is:
9427 = 111×8571
Prime Factorization of 9434
| 2 | 9434 |
| 53 | 4717 |
| 89 | 89 |
| 1 |
Prime factors of 9434 are 2, 53,89. Prime factorization of 9434 in exponential form is:
9434 = 21×531×891
Now multiplying the highest exponent prime factors to calculate the LCM of 9427 and 9434.
LCM(9427,9434) = 21×111×531×891×8571
LCM(9427,9434) = 88934318
Factors of 9427
List of positive integer factors of 9427 that divides 9427 without a remainder.
1, 11, 857, 9427
Factors of 9434
List of positive integer factors of 9434 that divides 9434 without a remainder.
1, 2, 53, 89, 106, 178, 4717, 9434
Least Common Multiple of 9427 and 9434 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9427 and 9434, than apply into the LCM equation.
GCF(9427,9434) = 1
LCM(9427,9434) = ( 9427 × 9434) / 1
LCM(9427,9434) = 88934318 / 1
LCM(9427,9434) = 88934318
Properties of LCM 9427 and 9434
(i) The LCM of 9434 and 9427 is associative
LCM of 9427 and 9434 = LCM of 9434 and 9427
Related Least Common Multiples of 9427
Related Least Common Multiples of 9434
Frequently Asked Questions on LCM of 9427 and 9434
1. What is the LCM of 9427 and 9434?
Answer: LCM of 9427 and 9434 is 88934318.
2. What are the Factors of 9427?
Answer: Factors of 9427 are 1, 11, 857, 9427. There are 4 integers that are factors of 9427. The greatest factor of 9427 is 9427.
3. What are the Factors of 9434?
Answer: Factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434. There are 8 integers that are factors of 9434. The greatest factor of 9434 is 9434.
4. How to Find the LCM of 9427 and 9434?
Answer:
Least Common Multiple of 9427 and 9434 = 88934318
Step 1: Find the prime factorization of 9427
9427 = 11 x 857
Step 2: Find the prime factorization of 9434
9434 = 2 x 53 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88934318 = 2 x 11 x 53 x 89 x 857
Step 4: Therefore, the least common multiple of 9427 and 9434 is 88934318.