Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6521 and 6525 the smallest integer that is 42549525 that is divisible by both numbers.
Least Common Multiple (LCM) of 6521 and 6525 is 42549525.
LCM(6521,6525) = 42549525
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 6521 and 6525. First we will calculate the prime factors of 6521 and 6525.
Prime Factorization of 6521
6521 | 6521 |
1 |
Prime factors of 6521 are 6521. Prime factorization of 6521 in exponential form is:
6521 = 65211
Prime Factorization of 6525
3 | 6525 |
3 | 2175 |
5 | 725 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 6525 are 3, 5,29. Prime factorization of 6525 in exponential form is:
6525 = 32×52×291
Now multiplying the highest exponent prime factors to calculate the LCM of 6521 and 6525.
LCM(6521,6525) = 32×52×291×65211
LCM(6521,6525) = 42549525
Factors of 6521
List of positive integer factors of 6521 that divides 6521 without a remainder.
1, 6521
Factors of 6525
List of positive integer factors of 6525 that divides 6525 without a remainder.
1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6521 and 6525, than apply into the LCM equation.
GCF(6521,6525) = 1
LCM(6521,6525) = ( 6521 × 6525) / 1
LCM(6521,6525) = 42549525 / 1
LCM(6521,6525) = 42549525
(i) The LCM of 6525 and 6521 is associative
LCM of 6521 and 6525 = LCM of 6525 and 6521
1. What is the LCM of 6521 and 6525?
Answer: LCM of 6521 and 6525 is 42549525.
2. What are the Factors of 6521?
Answer: Factors of 6521 are 1, 6521. There are 2 integers that are factors of 6521. The greatest factor of 6521 is 6521.
3. What are the Factors of 6525?
Answer: Factors of 6525 are 1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525. There are 18 integers that are factors of 6525. The greatest factor of 6525 is 6525.
4. How to Find the LCM of 6521 and 6525?
Answer:
Least Common Multiple of 6521 and 6525 = 42549525
Step 1: Find the prime factorization of 6521
6521 = 6521
Step 2: Find the prime factorization of 6525
6525 = 3 x 3 x 5 x 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42549525 = 3 x 3 x 5 x 5 x 29 x 6521
Step 4: Therefore, the least common multiple of 6521 and 6525 is 42549525.