Least Common Multiple of 6529 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 6529 and 6536 the smallest integer that is 42673544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6529 and 6536 is 42673544.

LCM(6529,6536) = 42673544

LCM of 6529 and 6536

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

LCM of:
and

Least Common Multiple of 6529 and 6536

LCM of 6529 and 6536 is 42673544

Least common multiple can be found by multiplying the highest exponent prime factors of 6529 and 6536. First we will calculate the prime factors of 6529 and 6536.

Prime Factorization of 6529


6529 6529
1

Prime factors of 6529 are 6529. Prime factorization of 6529 in exponential form is:

6529 = 65291

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 6529 and 6536.

LCM(6529,6536) = 23×191×431×65291
LCM(6529,6536) = 42673544

Factors of 6529

List of positive integer factors of 6529 that divides 6529 without a remainder.

1, 6529

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 6529 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 6529 and 6536, than apply into the LCM equation.

GCF(6529,6536) = 1
LCM(6529,6536) = ( 6529 × 6536) / 1
LCM(6529,6536) = 42673544 / 1
LCM(6529,6536) = 42673544

Properties of LCM 6529 and 6536

(i) The LCM of 6536 and 6529 is associative

LCM of 6529 and 6536 = LCM of 6536 and 6529

Related Least Common Multiples of 6529

Related Least Common Multiples of 6536

Frequently Asked Questions on LCM of 6529 and 6536

1. What is the LCM of 6529 and 6536?

Answer: LCM of 6529 and 6536 is 42673544.

2. What are the Factors of 6529?

Answer: Factors of 6529 are 1, 6529. There are 2 integers that are factors of 6529. The greatest factor of 6529 is 6529.

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 6529 and 6536?

Answer:

Least Common Multiple of 6529 and 6536 = 42673544

Step 1: Find the prime factorization of 6529

6529 = 6529

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 = 42673544 = 2 x 2 x 2 x 19 x 43 x 6529

Step 4: Therefore, the least common multiple of 6529 and 6536 is 42673544.