Least Common Multiple of 9452 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 9452 and 9457 the smallest integer that is 89387564 that is divisible by both numbers.
Least Common Multiple (LCM) of 9452 and 9457 is 89387564.
LCM(9452,9457) = 89387564
LCM of 9452 and 9457
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9452 and 9457 by Prime method
- Least Common Multiple of 9452 and 9457 with GCF Formula
LCM of 9452 and 9457 is 89387564
Least common multiple can be found by multiplying the highest exponent prime factors of 9452 and 9457. First we will calculate the prime factors of 9452 and 9457.
Prime Factorization of 9452
| 2 | 9452 |
| 2 | 4726 |
| 17 | 2363 |
| 139 | 139 |
| 1 |
Prime factors of 9452 are 2, 17,139. Prime factorization of 9452 in exponential form is:
9452 = 22×171×1391
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 9452 and 9457.
LCM(9452,9457) = 22×72×171×1391×1931
LCM(9452,9457) = 89387564
Factors of 9452
List of positive integer factors of 9452 that divides 9452 without a remainder.
1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452
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 9452 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 9452 and 9457, than apply into the LCM equation.
GCF(9452,9457) = 1
LCM(9452,9457) = ( 9452 × 9457) / 1
LCM(9452,9457) = 89387564 / 1
LCM(9452,9457) = 89387564
Properties of LCM 9452 and 9457
(i) The LCM of 9457 and 9452 is associative
LCM of 9452 and 9457 = LCM of 9457 and 9452
Related Least Common Multiples of 9452
Related Least Common Multiples of 9457
Frequently Asked Questions on LCM of 9452 and 9457
1. What is the LCM of 9452 and 9457?
Answer: LCM of 9452 and 9457 is 89387564.
2. What are the Factors of 9452?
Answer: Factors of 9452 are 1, 2, 4, 17, 34, 68, 139, 278, 556, 2363, 4726, 9452. There are 12 integers that are factors of 9452. The greatest factor of 9452 is 9452.
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 9452 and 9457?
Answer:
Least Common Multiple of 9452 and 9457 = 89387564
Step 1: Find the prime factorization of 9452
9452 = 2 x 2 x 17 x 139
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 = 89387564 = 2 x 2 x 7 x 7 x 17 x 139 x 193
Step 4: Therefore, the least common multiple of 9452 and 9457 is 89387564.