Least Common Multiple of 6523 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 6523 and 6528 the smallest integer that is 42582144 that is divisible by both numbers.

Least Common Multiple (LCM) of 6523 and 6528 is 42582144.

LCM(6523,6528) = 42582144

LCM of 6523 and 6528

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

LCM of:
and

Least Common Multiple of 6523 and 6528

LCM of 6523 and 6528 is 42582144

Least common multiple can be found by multiplying the highest exponent prime factors of 6523 and 6528. First we will calculate the prime factors of 6523 and 6528.

Prime Factorization of 6523


11 6523
593 593
1

Prime factors of 6523 are 11,593. Prime factorization of 6523 in exponential form is:

6523 = 111×5931

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 6523 and 6528.

LCM(6523,6528) = 27×31×111×171×5931
LCM(6523,6528) = 42582144

Factors of 6523

List of positive integer factors of 6523 that divides 6523 without a remainder.

1, 11, 593, 6523

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 6523 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 6523 and 6528, than apply into the LCM equation.

GCF(6523,6528) = 1
LCM(6523,6528) = ( 6523 × 6528) / 1
LCM(6523,6528) = 42582144 / 1
LCM(6523,6528) = 42582144

Properties of LCM 6523 and 6528

(i) The LCM of 6528 and 6523 is associative

LCM of 6523 and 6528 = LCM of 6528 and 6523

Related Least Common Multiples of 6523

Related Least Common Multiples of 6528

Frequently Asked Questions on LCM of 6523 and 6528

1. What is the LCM of 6523 and 6528?

Answer: LCM of 6523 and 6528 is 42582144.

2. What are the Factors of 6523?

Answer: Factors of 6523 are 1, 11, 593, 6523. There are 4 integers that are factors of 6523. The greatest factor of 6523 is 6523.

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 6523 and 6528?

Answer:

Least Common Multiple of 6523 and 6528 = 42582144

Step 1: Find the prime factorization of 6523

6523 = 11 x 593

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 = 42582144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 17 x 593

Step 4: Therefore, the least common multiple of 6523 and 6528 is 42582144.