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 6527 the smallest integer that is 42562567 that is divisible by both numbers.
Least Common Multiple (LCM) of 6521 and 6527 is 42562567.
LCM(6521,6527) = 42562567
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 6527. First we will calculate the prime factors of 6521 and 6527.
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 6527
61 | 6527 |
107 | 107 |
1 |
Prime factors of 6527 are 61,107. Prime factorization of 6527 in exponential form is:
6527 = 611×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 6521 and 6527.
LCM(6521,6527) = 611×1071×65211
LCM(6521,6527) = 42562567
Factors of 6521
List of positive integer factors of 6521 that divides 6521 without a remainder.
1, 6521
Factors of 6527
List of positive integer factors of 6527 that divides 6527 without a remainder.
1, 61, 107, 6527
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6521 and 6527, than apply into the LCM equation.
GCF(6521,6527) = 1
LCM(6521,6527) = ( 6521 × 6527) / 1
LCM(6521,6527) = 42562567 / 1
LCM(6521,6527) = 42562567
(i) The LCM of 6527 and 6521 is associative
LCM of 6521 and 6527 = LCM of 6527 and 6521
1. What is the LCM of 6521 and 6527?
Answer: LCM of 6521 and 6527 is 42562567.
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 6527?
Answer: Factors of 6527 are 1, 61, 107, 6527. There are 4 integers that are factors of 6527. The greatest factor of 6527 is 6527.
4. How to Find the LCM of 6521 and 6527?
Answer:
Least Common Multiple of 6521 and 6527 = 42562567
Step 1: Find the prime factorization of 6521
6521 = 6521
Step 2: Find the prime factorization of 6527
6527 = 61 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42562567 = 61 x 107 x 6521
Step 4: Therefore, the least common multiple of 6521 and 6527 is 42562567.