Least Common Multiple of 6521 and 6528

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 6528 the smallest integer that is 42569088 that is divisible by both numbers.

Least Common Multiple (LCM) of 6521 and 6528 is 42569088.

LCM(6521,6528) = 42569088

LCM of 6521 and 6528

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6521 and 6528

LCM of 6521 and 6528 is 42569088

Least common multiple can be found by multiplying the highest exponent prime factors of 6521 and 6528. First we will calculate the prime factors of 6521 and 6528.

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 6528


2 6528
2 3264
2 1632
2 816
2 408
2 204
2 102
3 51
17 17
1

Prime factors of 6528 are 2, 3,17. Prime factorization of 6528 in exponential form is:

6528 = 27×31×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6521 and 6528.

LCM(6521,6528) = 27×31×171×65211
LCM(6521,6528) = 42569088

Factors of 6521

List of positive integer factors of 6521 that divides 6521 without a remainder.

1, 6521

Factors of 6528

List of positive integer factors of 6528 that divides 6528 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528

Least Common Multiple of 6521 and 6528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6521 and 6528, than apply into the LCM equation.

GCF(6521,6528) = 1
LCM(6521,6528) = ( 6521 × 6528) / 1
LCM(6521,6528) = 42569088 / 1
LCM(6521,6528) = 42569088

Properties of LCM 6521 and 6528

(i) The LCM of 6528 and 6521 is associative

LCM of 6521 and 6528 = LCM of 6528 and 6521

Related Least Common Multiples of 6521

Related Least Common Multiples of 6528

Frequently Asked Questions on LCM of 6521 and 6528

1. What is the LCM of 6521 and 6528?

Answer: LCM of 6521 and 6528 is 42569088.

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 6528?

Answer: Factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528. There are 32 integers that are factors of 6528. The greatest factor of 6528 is 6528.

4. How to Find the LCM of 6521 and 6528?

Answer:

Least Common Multiple of 6521 and 6528 = 42569088

Step 1: Find the prime factorization of 6521

6521 = 6521

Step 2: Find the prime factorization of 6528

6528 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 42569088 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 6521

Step 4: Therefore, the least common multiple of 6521 and 6528 is 42569088.