Least Common Multiple of 9453 and 9457
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9453 and 9457 the smallest integer that is 89397021 that is divisible by both numbers.
Least Common Multiple (LCM) of 9453 and 9457 is 89397021.
LCM(9453,9457) = 89397021
LCM of 9453 and 9457
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9453 and 9457 by Prime method
- Least Common Multiple of 9453 and 9457 with GCF Formula
LCM of 9453 and 9457 is 89397021
Least common multiple can be found by multiplying the highest exponent prime factors of 9453 and 9457. First we will calculate the prime factors of 9453 and 9457.
Prime Factorization of 9453
| 3 | 9453 |
| 23 | 3151 |
| 137 | 137 |
| 1 |
Prime factors of 9453 are 3, 23,137. Prime factorization of 9453 in exponential form is:
9453 = 31×231×1371
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9453 and 9457.
LCM(9453,9457) = 31×72×231×1371×1931
LCM(9453,9457) = 89397021
Factors of 9453
List of positive integer factors of 9453 that divides 9453 without a remainder.
1, 3, 23, 69, 137, 411, 3151, 9453
Factors of 9457
List of positive integer factors of 9457 that divides 9457 without a remainder.
1, 7, 49, 193, 1351, 9457
Least Common Multiple of 9453 and 9457 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9453 and 9457, than apply into the LCM equation.
GCF(9453,9457) = 1
LCM(9453,9457) = ( 9453 × 9457) / 1
LCM(9453,9457) = 89397021 / 1
LCM(9453,9457) = 89397021
Properties of LCM 9453 and 9457
(i) The LCM of 9457 and 9453 is associative
LCM of 9453 and 9457 = LCM of 9457 and 9453
Related Least Common Multiples of 9453
Related Least Common Multiples of 9457
Frequently Asked Questions on LCM of 9453 and 9457
1. What is the LCM of 9453 and 9457?
Answer: LCM of 9453 and 9457 is 89397021.
2. What are the Factors of 9453?
Answer: Factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453. There are 8 integers that are factors of 9453. The greatest factor of 9453 is 9453.
3. 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.
4. How to Find the LCM of 9453 and 9457?
Answer:
Least Common Multiple of 9453 and 9457 = 89397021
Step 1: Find the prime factorization of 9453
9453 = 3 x 23 x 137
Step 2: Find the prime factorization of 9457
9457 = 7 x 7 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89397021 = 3 x 7 x 7 x 23 x 137 x 193
Step 4: Therefore, the least common multiple of 9453 and 9457 is 89397021.