Least Common Multiple of 6524 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 6524 and 6528 the smallest integer that is 10647168 that is divisible by both numbers.

Least Common Multiple (LCM) of 6524 and 6528 is 10647168.

LCM(6524,6528) = 10647168

LCM of 6524 and 6528

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

LCM of:
and

Least Common Multiple of 6524 and 6528

LCM of 6524 and 6528 is 10647168

Least common multiple can be found by multiplying the highest exponent prime factors of 6524 and 6528. First we will calculate the prime factors of 6524 and 6528.

Prime Factorization of 6524


2 6524
2 3262
7 1631
233 233
1

Prime factors of 6524 are 2, 7,233. Prime factorization of 6524 in exponential form is:

6524 = 22×71×2331

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 6524 and 6528.

LCM(6524,6528) = 27×31×71×171×2331
LCM(6524,6528) = 10647168

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524

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 6524 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 6524 and 6528, than apply into the LCM equation.

GCF(6524,6528) = 4
LCM(6524,6528) = ( 6524 × 6528) / 4
LCM(6524,6528) = 42588672 / 4
LCM(6524,6528) = 10647168

Properties of LCM 6524 and 6528

(i) The LCM of 6528 and 6524 is associative

LCM of 6524 and 6528 = LCM of 6528 and 6524

Related Least Common Multiples of 6524

Related Least Common Multiples of 6528

Frequently Asked Questions on LCM of 6524 and 6528

1. What is the LCM of 6524 and 6528?

Answer: LCM of 6524 and 6528 is 10647168.

2. What are the Factors of 6524?

Answer: Factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524. There are 12 integers that are factors of 6524. The greatest factor of 6524 is 6524.

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 6524 and 6528?

Answer:

Least Common Multiple of 6524 and 6528 = 10647168

Step 1: Find the prime factorization of 6524

6524 = 2 x 2 x 7 x 233

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 = 10647168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 17 x 233

Step 4: Therefore, the least common multiple of 6524 and 6528 is 10647168.