Least Common Multiple of 6522 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 6522 and 6528 the smallest integer that is 7095936 that is divisible by both numbers.

Least Common Multiple (LCM) of 6522 and 6528 is 7095936.

LCM(6522,6528) = 7095936

LCM of 6522 and 6528

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

LCM of:
and

Least Common Multiple of 6522 and 6528

LCM of 6522 and 6528 is 7095936

Least common multiple can be found by multiplying the highest exponent prime factors of 6522 and 6528. First we will calculate the prime factors of 6522 and 6528.

Prime Factorization of 6522


2 6522
3 3261
1087 1087
1

Prime factors of 6522 are 2, 3,1087. Prime factorization of 6522 in exponential form is:

6522 = 21×31×10871

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 6522 and 6528.

LCM(6522,6528) = 27×31×171×10871
LCM(6522,6528) = 7095936

Factors of 6522

List of positive integer factors of 6522 that divides 6522 without a remainder.

1, 2, 3, 6, 1087, 2174, 3261, 6522

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 6522 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 6522 and 6528, than apply into the LCM equation.

GCF(6522,6528) = 6
LCM(6522,6528) = ( 6522 × 6528) / 6
LCM(6522,6528) = 42575616 / 6
LCM(6522,6528) = 7095936

Properties of LCM 6522 and 6528

(i) The LCM of 6528 and 6522 is associative

LCM of 6522 and 6528 = LCM of 6528 and 6522

Related Least Common Multiples of 6522

Related Least Common Multiples of 6528

Frequently Asked Questions on LCM of 6522 and 6528

1. What is the LCM of 6522 and 6528?

Answer: LCM of 6522 and 6528 is 7095936.

2. What are the Factors of 6522?

Answer: Factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522. There are 8 integers that are factors of 6522. The greatest factor of 6522 is 6522.

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 6522 and 6528?

Answer:

Least Common Multiple of 6522 and 6528 = 7095936

Step 1: Find the prime factorization of 6522

6522 = 2 x 3 x 1087

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 = 7095936 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 1087

Step 4: Therefore, the least common multiple of 6522 and 6528 is 7095936.