Least Common Multiple of 6524 and 6529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6524 and 6529 the smallest integer that is 42595196 that is divisible by both numbers.

Least Common Multiple (LCM) of 6524 and 6529 is 42595196.

LCM(6524,6529) = 42595196

LCM of 6524 and 6529

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

LCM of:
and

Least Common Multiple of 6524 and 6529

LCM of 6524 and 6529 is 42595196

Least common multiple can be found by multiplying the highest exponent prime factors of 6524 and 6529. First we will calculate the prime factors of 6524 and 6529.

Prime Factorization of 6524


2 6524
2 3262
7 1631
233 233
1

Prime factors of 6524 are 2, 7,233. Prime factorization of 6524 in exponential form is:

6524 = 22×71×2331

Prime Factorization of 6529


6529 6529
1

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

6529 = 65291

Now multiplying the highest exponent prime factors to calculate the LCM of 6524 and 6529.

LCM(6524,6529) = 22×71×2331×65291
LCM(6524,6529) = 42595196

Factors of 6524

List of positive integer factors of 6524 that divides 6524 without a remainder.

1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524

Factors of 6529

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

1, 6529

Least Common Multiple of 6524 and 6529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6524 and 6529, than apply into the LCM equation.

GCF(6524,6529) = 1
LCM(6524,6529) = ( 6524 × 6529) / 1
LCM(6524,6529) = 42595196 / 1
LCM(6524,6529) = 42595196

Properties of LCM 6524 and 6529

(i) The LCM of 6529 and 6524 is associative

LCM of 6524 and 6529 = LCM of 6529 and 6524

Related Least Common Multiples of 6524

Related Least Common Multiples of 6529

Frequently Asked Questions on LCM of 6524 and 6529

1. What is the LCM of 6524 and 6529?

Answer: LCM of 6524 and 6529 is 42595196.

2. What are the Factors of 6524?

Answer: Factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524. There are 12 integers that are factors of 6524. The greatest factor of 6524 is 6524.

3. 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.

4. How to Find the LCM of 6524 and 6529?

Answer:

Least Common Multiple of 6524 and 6529 = 42595196

Step 1: Find the prime factorization of 6524

6524 = 2 x 2 x 7 x 233

Step 2: Find the prime factorization of 6529

6529 = 6529

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

LCM = 42595196 = 2 x 2 x 7 x 233 x 6529

Step 4: Therefore, the least common multiple of 6524 and 6529 is 42595196.