Least Common Multiple of 9495 and 9503
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9495 and 9503 the smallest integer that is 90230985 that is divisible by both numbers.
Least Common Multiple (LCM) of 9495 and 9503 is 90230985.
LCM(9495,9503) = 90230985
LCM of 9495 and 9503
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9495 and 9503 by Prime method
- Least Common Multiple of 9495 and 9503 with GCF Formula
LCM of 9495 and 9503 is 90230985
Least common multiple can be found by multiplying the highest exponent prime factors of 9495 and 9503. First we will calculate the prime factors of 9495 and 9503.
Prime Factorization of 9495
| 3 | 9495 |
| 3 | 3165 |
| 5 | 1055 |
| 211 | 211 |
| 1 |
Prime factors of 9495 are 3, 5,211. Prime factorization of 9495 in exponential form is:
9495 = 32×51×2111
Prime Factorization of 9503
| 13 | 9503 |
| 17 | 731 |
| 43 | 43 |
| 1 |
Prime factors of 9503 are 13, 17,43. Prime factorization of 9503 in exponential form is:
9503 = 131×171×431
Now multiplying the highest exponent prime factors to calculate the LCM of 9495 and 9503.
LCM(9495,9503) = 32×51×131×171×431×2111
LCM(9495,9503) = 90230985
Factors of 9495
List of positive integer factors of 9495 that divides 9495 without a remainder.
1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495
Factors of 9503
List of positive integer factors of 9503 that divides 9503 without a remainder.
1, 13, 17, 43, 221, 559, 731, 9503
Least Common Multiple of 9495 and 9503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9495 and 9503, than apply into the LCM equation.
GCF(9495,9503) = 1
LCM(9495,9503) = ( 9495 × 9503) / 1
LCM(9495,9503) = 90230985 / 1
LCM(9495,9503) = 90230985
Properties of LCM 9495 and 9503
(i) The LCM of 9503 and 9495 is associative
LCM of 9495 and 9503 = LCM of 9503 and 9495
Related Least Common Multiples of 9495
Related Least Common Multiples of 9503
Frequently Asked Questions on LCM of 9495 and 9503
1. What is the LCM of 9495 and 9503?
Answer: LCM of 9495 and 9503 is 90230985.
2. What are the Factors of 9495?
Answer: Factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495. There are 12 integers that are factors of 9495. The greatest factor of 9495 is 9495.
3. What are the Factors of 9503?
Answer: Factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503. There are 8 integers that are factors of 9503. The greatest factor of 9503 is 9503.
4. How to Find the LCM of 9495 and 9503?
Answer:
Least Common Multiple of 9495 and 9503 = 90230985
Step 1: Find the prime factorization of 9495
9495 = 3 x 3 x 5 x 211
Step 2: Find the prime factorization of 9503
9503 = 13 x 17 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90230985 = 3 x 3 x 5 x 13 x 17 x 43 x 211
Step 4: Therefore, the least common multiple of 9495 and 9503 is 90230985.