Least Common Multiple of 6532 and 6536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6532 and 6536 the smallest integer that is 10673288 that is divisible by both numbers.

Least Common Multiple (LCM) of 6532 and 6536 is 10673288.

LCM(6532,6536) = 10673288

LCM of 6532 and 6536

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

LCM of:
and

Least Common Multiple of 6532 and 6536

LCM of 6532 and 6536 is 10673288

Least common multiple can be found by multiplying the highest exponent prime factors of 6532 and 6536. First we will calculate the prime factors of 6532 and 6536.

Prime Factorization of 6532


2 6532
2 3266
23 1633
71 71
1

Prime factors of 6532 are 2, 23,71. Prime factorization of 6532 in exponential form is:

6532 = 22×231×711

Prime Factorization of 6536


2 6536
2 3268
2 1634
19 817
43 43
1

Prime factors of 6536 are 2, 19,43. Prime factorization of 6536 in exponential form is:

6536 = 23×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6532 and 6536.

LCM(6532,6536) = 23×191×231×431×711
LCM(6532,6536) = 10673288

Factors of 6532

List of positive integer factors of 6532 that divides 6532 without a remainder.

1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266, 6532

Factors of 6536

List of positive integer factors of 6536 that divides 6536 without a remainder.

1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536

Least Common Multiple of 6532 and 6536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6532 and 6536, than apply into the LCM equation.

GCF(6532,6536) = 4
LCM(6532,6536) = ( 6532 × 6536) / 4
LCM(6532,6536) = 42693152 / 4
LCM(6532,6536) = 10673288

Properties of LCM 6532 and 6536

(i) The LCM of 6536 and 6532 is associative

LCM of 6532 and 6536 = LCM of 6536 and 6532

Related Least Common Multiples of 6532

Related Least Common Multiples of 6536

Frequently Asked Questions on LCM of 6532 and 6536

1. What is the LCM of 6532 and 6536?

Answer: LCM of 6532 and 6536 is 10673288.

2. What are the Factors of 6532?

Answer: Factors of 6532 are 1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266, 6532. There are 12 integers that are factors of 6532. The greatest factor of 6532 is 6532.

3. What are the Factors of 6536?

Answer: Factors of 6536 are 1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536. There are 16 integers that are factors of 6536. The greatest factor of 6536 is 6536.

4. How to Find the LCM of 6532 and 6536?

Answer:

Least Common Multiple of 6532 and 6536 = 10673288

Step 1: Find the prime factorization of 6532

6532 = 2 x 2 x 23 x 71

Step 2: Find the prime factorization of 6536

6536 = 2 x 2 x 2 x 19 x 43

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

LCM = 10673288 = 2 x 2 x 2 x 19 x 23 x 43 x 71

Step 4: Therefore, the least common multiple of 6532 and 6536 is 10673288.