Least Common Multiple of 9438 and 9445
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9438 and 9445 the smallest integer that is 89141910 that is divisible by both numbers.
Least Common Multiple (LCM) of 9438 and 9445 is 89141910.
LCM(9438,9445) = 89141910
LCM of 9438 and 9445
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9438 and 9445 by Prime method
- Least Common Multiple of 9438 and 9445 with GCF Formula
LCM of 9438 and 9445 is 89141910
Least common multiple can be found by multiplying the highest exponent prime factors of 9438 and 9445. First we will calculate the prime factors of 9438 and 9445.
Prime Factorization of 9438
| 2 | 9438 |
| 3 | 4719 |
| 11 | 1573 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 9438 are 2, 3, 11,13. Prime factorization of 9438 in exponential form is:
9438 = 21×31×112×131
Prime Factorization of 9445
| 5 | 9445 |
| 1889 | 1889 |
| 1 |
Prime factors of 9445 are 5,1889. Prime factorization of 9445 in exponential form is:
9445 = 51×18891
Now multiplying the highest exponent prime factors to calculate the LCM of 9438 and 9445.
LCM(9438,9445) = 21×31×51×112×131×18891
LCM(9438,9445) = 89141910
Factors of 9438
List of positive integer factors of 9438 that divides 9438 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438
Factors of 9445
List of positive integer factors of 9445 that divides 9445 without a remainder.
1, 5, 1889, 9445
Least Common Multiple of 9438 and 9445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9438 and 9445, than apply into the LCM equation.
GCF(9438,9445) = 1
LCM(9438,9445) = ( 9438 × 9445) / 1
LCM(9438,9445) = 89141910 / 1
LCM(9438,9445) = 89141910
Properties of LCM 9438 and 9445
(i) The LCM of 9445 and 9438 is associative
LCM of 9438 and 9445 = LCM of 9445 and 9438
Related Least Common Multiples of 9438
Related Least Common Multiples of 9445
Frequently Asked Questions on LCM of 9438 and 9445
1. What is the LCM of 9438 and 9445?
Answer: LCM of 9438 and 9445 is 89141910.
2. What are the Factors of 9438?
Answer: Factors of 9438 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438. There are 24 integers that are factors of 9438. The greatest factor of 9438 is 9438.
3. What are the Factors of 9445?
Answer: Factors of 9445 are 1, 5, 1889, 9445. There are 4 integers that are factors of 9445. The greatest factor of 9445 is 9445.
4. How to Find the LCM of 9438 and 9445?
Answer:
Least Common Multiple of 9438 and 9445 = 89141910
Step 1: Find the prime factorization of 9438
9438 = 2 x 3 x 11 x 11 x 13
Step 2: Find the prime factorization of 9445
9445 = 5 x 1889
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89141910 = 2 x 3 x 5 x 11 x 11 x 13 x 1889
Step 4: Therefore, the least common multiple of 9438 and 9445 is 89141910.