Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9519 and 9527 the smallest integer that is 90687513 that is divisible by both numbers.
Least Common Multiple (LCM) of 9519 and 9527 is 90687513.
LCM(9519,9527) = 90687513
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 9519 and 9527. First we will calculate the prime factors of 9519 and 9527.
Prime Factorization of 9519
3 | 9519 |
19 | 3173 |
167 | 167 |
1 |
Prime factors of 9519 are 3, 19,167. Prime factorization of 9519 in exponential form is:
9519 = 31×191×1671
Prime Factorization of 9527
7 | 9527 |
1361 | 1361 |
1 |
Prime factors of 9527 are 7,1361. Prime factorization of 9527 in exponential form is:
9527 = 71×13611
Now multiplying the highest exponent prime factors to calculate the LCM of 9519 and 9527.
LCM(9519,9527) = 31×71×191×1671×13611
LCM(9519,9527) = 90687513
Factors of 9519
List of positive integer factors of 9519 that divides 9519 without a remainder.
1, 3, 19, 57, 167, 501, 3173, 9519
Factors of 9527
List of positive integer factors of 9527 that divides 9527 without a remainder.
1, 7, 1361, 9527
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9519 and 9527, than apply into the LCM equation.
GCF(9519,9527) = 1
LCM(9519,9527) = ( 9519 × 9527) / 1
LCM(9519,9527) = 90687513 / 1
LCM(9519,9527) = 90687513
(i) The LCM of 9527 and 9519 is associative
LCM of 9519 and 9527 = LCM of 9527 and 9519
1. What is the LCM of 9519 and 9527?
Answer: LCM of 9519 and 9527 is 90687513.
2. What are the Factors of 9519?
Answer: Factors of 9519 are 1, 3, 19, 57, 167, 501, 3173, 9519. There are 8 integers that are factors of 9519. The greatest factor of 9519 is 9519.
3. What are the Factors of 9527?
Answer: Factors of 9527 are 1, 7, 1361, 9527. There are 4 integers that are factors of 9527. The greatest factor of 9527 is 9527.
4. How to Find the LCM of 9519 and 9527?
Answer:
Least Common Multiple of 9519 and 9527 = 90687513
Step 1: Find the prime factorization of 9519
9519 = 3 x 19 x 167
Step 2: Find the prime factorization of 9527
9527 = 7 x 1361
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90687513 = 3 x 7 x 19 x 167 x 1361
Step 4: Therefore, the least common multiple of 9519 and 9527 is 90687513.