Least Common Multiple of 6529 and 6533

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 6533 the smallest integer that is 42653957 that is divisible by both numbers.

Least Common Multiple (LCM) of 6529 and 6533 is 42653957.

LCM(6529,6533) = 42653957

LCM of 6529 and 6533

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

LCM of:
and

Least Common Multiple of 6529 and 6533

LCM of 6529 and 6533 is 42653957

Least common multiple can be found by multiplying the highest exponent prime factors of 6529 and 6533. First we will calculate the prime factors of 6529 and 6533.

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 6533


47 6533
139 139
1

Prime factors of 6533 are 47,139. Prime factorization of 6533 in exponential form is:

6533 = 471×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6529 and 6533.

LCM(6529,6533) = 471×1391×65291
LCM(6529,6533) = 42653957

Factors of 6529

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

1, 6529

Factors of 6533

List of positive integer factors of 6533 that divides 6533 without a remainder.

1, 47, 139, 6533

Least Common Multiple of 6529 and 6533 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 6533, than apply into the LCM equation.

GCF(6529,6533) = 1
LCM(6529,6533) = ( 6529 × 6533) / 1
LCM(6529,6533) = 42653957 / 1
LCM(6529,6533) = 42653957

Properties of LCM 6529 and 6533

(i) The LCM of 6533 and 6529 is associative

LCM of 6529 and 6533 = LCM of 6533 and 6529

Related Least Common Multiples of 6529

Related Least Common Multiples of 6533

Frequently Asked Questions on LCM of 6529 and 6533

1. What is the LCM of 6529 and 6533?

Answer: LCM of 6529 and 6533 is 42653957.

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 6533?

Answer: Factors of 6533 are 1, 47, 139, 6533. There are 4 integers that are factors of 6533. The greatest factor of 6533 is 6533.

4. How to Find the LCM of 6529 and 6533?

Answer:

Least Common Multiple of 6529 and 6533 = 42653957

Step 1: Find the prime factorization of 6529

6529 = 6529

Step 2: Find the prime factorization of 6533

6533 = 47 x 139

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

LCM = 42653957 = 47 x 139 x 6529

Step 4: Therefore, the least common multiple of 6529 and 6533 is 42653957.