Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9523 and 9531 the smallest integer that is 90763713 that is divisible by both numbers.
Least Common Multiple (LCM) of 9523 and 9531 is 90763713.
LCM(9523,9531) = 90763713
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 9523 and 9531. First we will calculate the prime factors of 9523 and 9531.
Prime Factorization of 9523
89 | 9523 |
107 | 107 |
1 |
Prime factors of 9523 are 89,107. Prime factorization of 9523 in exponential form is:
9523 = 891×1071
Prime Factorization of 9531
3 | 9531 |
3 | 3177 |
3 | 1059 |
353 | 353 |
1 |
Prime factors of 9531 are 3,353. Prime factorization of 9531 in exponential form is:
9531 = 33×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 9523 and 9531.
LCM(9523,9531) = 33×891×1071×3531
LCM(9523,9531) = 90763713
Factors of 9523
List of positive integer factors of 9523 that divides 9523 without a remainder.
1, 89, 107, 9523
Factors of 9531
List of positive integer factors of 9531 that divides 9531 without a remainder.
1, 3, 9, 27, 353, 1059, 3177, 9531
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9523 and 9531, than apply into the LCM equation.
GCF(9523,9531) = 1
LCM(9523,9531) = ( 9523 × 9531) / 1
LCM(9523,9531) = 90763713 / 1
LCM(9523,9531) = 90763713
(i) The LCM of 9531 and 9523 is associative
LCM of 9523 and 9531 = LCM of 9531 and 9523
1. What is the LCM of 9523 and 9531?
Answer: LCM of 9523 and 9531 is 90763713.
2. What are the Factors of 9523?
Answer: Factors of 9523 are 1, 89, 107, 9523. There are 4 integers that are factors of 9523. The greatest factor of 9523 is 9523.
3. What are the Factors of 9531?
Answer: Factors of 9531 are 1, 3, 9, 27, 353, 1059, 3177, 9531. There are 8 integers that are factors of 9531. The greatest factor of 9531 is 9531.
4. How to Find the LCM of 9523 and 9531?
Answer:
Least Common Multiple of 9523 and 9531 = 90763713
Step 1: Find the prime factorization of 9523
9523 = 89 x 107
Step 2: Find the prime factorization of 9531
9531 = 3 x 3 x 3 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90763713 = 3 x 3 x 3 x 89 x 107 x 353
Step 4: Therefore, the least common multiple of 9523 and 9531 is 90763713.