Least Common Multiple of 9457 and 9465
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9457 and 9465 the smallest integer that is 89510505 that is divisible by both numbers.
Least Common Multiple (LCM) of 9457 and 9465 is 89510505.
LCM(9457,9465) = 89510505
LCM of 9457 and 9465
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9457 and 9465 by Prime method
- Least Common Multiple of 9457 and 9465 with GCF Formula
LCM of 9457 and 9465 is 89510505
Least common multiple can be found by multiplying the highest exponent prime factors of 9457 and 9465. First we will calculate the prime factors of 9457 and 9465.
Prime Factorization of 9457
| 7 | 9457 |
| 7 | 1351 |
| 193 | 193 |
| 1 |
Prime factors of 9457 are 7,193. Prime factorization of 9457 in exponential form is:
9457 = 72×1931
Prime Factorization of 9465
| 3 | 9465 |
| 5 | 3155 |
| 631 | 631 |
| 1 |
Prime factors of 9465 are 3, 5,631. Prime factorization of 9465 in exponential form is:
9465 = 31×51×6311
Now multiplying the highest exponent prime factors to calculate the LCM of 9457 and 9465.
LCM(9457,9465) = 31×51×72×1931×6311
LCM(9457,9465) = 89510505
Factors of 9457
List of positive integer factors of 9457 that divides 9457 without a remainder.
1, 7, 49, 193, 1351, 9457
Factors of 9465
List of positive integer factors of 9465 that divides 9465 without a remainder.
1, 3, 5, 15, 631, 1893, 3155, 9465
Least Common Multiple of 9457 and 9465 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9457 and 9465, than apply into the LCM equation.
GCF(9457,9465) = 1
LCM(9457,9465) = ( 9457 × 9465) / 1
LCM(9457,9465) = 89510505 / 1
LCM(9457,9465) = 89510505
Properties of LCM 9457 and 9465
(i) The LCM of 9465 and 9457 is associative
LCM of 9457 and 9465 = LCM of 9465 and 9457
Related Least Common Multiples of 9457
Related Least Common Multiples of 9465
Frequently Asked Questions on LCM of 9457 and 9465
1. What is the LCM of 9457 and 9465?
Answer: LCM of 9457 and 9465 is 89510505.
2. What are the Factors of 9457?
Answer: Factors of 9457 are 1, 7, 49, 193, 1351, 9457. There are 6 integers that are factors of 9457. The greatest factor of 9457 is 9457.
3. What are the Factors of 9465?
Answer: Factors of 9465 are 1, 3, 5, 15, 631, 1893, 3155, 9465. There are 8 integers that are factors of 9465. The greatest factor of 9465 is 9465.
4. How to Find the LCM of 9457 and 9465?
Answer:
Least Common Multiple of 9457 and 9465 = 89510505
Step 1: Find the prime factorization of 9457
9457 = 7 x 7 x 193
Step 2: Find the prime factorization of 9465
9465 = 3 x 5 x 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89510505 = 3 x 5 x 7 x 7 x 193 x 631
Step 4: Therefore, the least common multiple of 9457 and 9465 is 89510505.