Least Common Multiple of 6520 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 6520 and 6528 the smallest integer that is 5320320 that is divisible by both numbers.

Least Common Multiple (LCM) of 6520 and 6528 is 5320320.

LCM(6520,6528) = 5320320

LCM of 6520 and 6528

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

LCM of:
and

Least Common Multiple of 6520 and 6528

LCM of 6520 and 6528 is 5320320

Least common multiple can be found by multiplying the highest exponent prime factors of 6520 and 6528. First we will calculate the prime factors of 6520 and 6528.

Prime Factorization of 6520


2 6520
2 3260
2 1630
5 815
163 163
1

Prime factors of 6520 are 2, 5,163. Prime factorization of 6520 in exponential form is:

6520 = 23×51×1631

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 6520 and 6528.

LCM(6520,6528) = 27×31×51×171×1631
LCM(6520,6528) = 5320320

Factors of 6520

List of positive integer factors of 6520 that divides 6520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520

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 6520 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 6520 and 6528, than apply into the LCM equation.

GCF(6520,6528) = 8
LCM(6520,6528) = ( 6520 × 6528) / 8
LCM(6520,6528) = 42562560 / 8
LCM(6520,6528) = 5320320

Properties of LCM 6520 and 6528

(i) The LCM of 6528 and 6520 is associative

LCM of 6520 and 6528 = LCM of 6528 and 6520

Related Least Common Multiples of 6520

Related Least Common Multiples of 6528

Frequently Asked Questions on LCM of 6520 and 6528

1. What is the LCM of 6520 and 6528?

Answer: LCM of 6520 and 6528 is 5320320.

2. What are the Factors of 6520?

Answer: Factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520. There are 16 integers that are factors of 6520. The greatest factor of 6520 is 6520.

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 6520 and 6528?

Answer:

Least Common Multiple of 6520 and 6528 = 5320320

Step 1: Find the prime factorization of 6520

6520 = 2 x 2 x 2 x 5 x 163

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 = 5320320 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 17 x 163

Step 4: Therefore, the least common multiple of 6520 and 6528 is 5320320.