Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8513 and 8521 the smallest integer that is 72539273 that is divisible by both numbers.
Least Common Multiple (LCM) of 8513 and 8521 is 72539273.
LCM(8513,8521) = 72539273
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 8513 and 8521. First we will calculate the prime factors of 8513 and 8521.
Prime Factorization of 8513
8513 | 8513 |
1 |
Prime factors of 8513 are 8513. Prime factorization of 8513 in exponential form is:
8513 = 85131
Prime Factorization of 8521
8521 | 8521 |
1 |
Prime factors of 8521 are 8521. Prime factorization of 8521 in exponential form is:
8521 = 85211
Now multiplying the highest exponent prime factors to calculate the LCM of 8513 and 8521.
LCM(8513,8521) = 85131×85211
LCM(8513,8521) = 72539273
Factors of 8513
List of positive integer factors of 8513 that divides 8513 without a remainder.
1, 8513
Factors of 8521
List of positive integer factors of 8521 that divides 8521 without a remainder.
1, 8521
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8513 and 8521, than apply into the LCM equation.
GCF(8513,8521) = 1
LCM(8513,8521) = ( 8513 × 8521) / 1
LCM(8513,8521) = 72539273 / 1
LCM(8513,8521) = 72539273
(i) The LCM of 8521 and 8513 is associative
LCM of 8513 and 8521 = LCM of 8521 and 8513
1. What is the LCM of 8513 and 8521?
Answer: LCM of 8513 and 8521 is 72539273.
2. What are the Factors of 8513?
Answer: Factors of 8513 are 1, 8513. There are 2 integers that are factors of 8513. The greatest factor of 8513 is 8513.
3. What are the Factors of 8521?
Answer: Factors of 8521 are 1, 8521. There are 2 integers that are factors of 8521. The greatest factor of 8521 is 8521.
4. How to Find the LCM of 8513 and 8521?
Answer:
Least Common Multiple of 8513 and 8521 = 72539273
Step 1: Find the prime factorization of 8513
8513 = 8513
Step 2: Find the prime factorization of 8521
8521 = 8521
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 72539273 = 8513 x 8521
Step 4: Therefore, the least common multiple of 8513 and 8521 is 72539273.