Least Common Multiple of 6530 and 6532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6530 and 6532 the smallest integer that is 21326980 that is divisible by both numbers.

Least Common Multiple (LCM) of 6530 and 6532 is 21326980.

LCM(6530,6532) = 21326980

LCM of 6530 and 6532

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

LCM of:
and

Least Common Multiple of 6530 and 6532

LCM of 6530 and 6532 is 21326980

Least common multiple can be found by multiplying the highest exponent prime factors of 6530 and 6532. First we will calculate the prime factors of 6530 and 6532.

Prime Factorization of 6530


2 6530
5 3265
653 653
1

Prime factors of 6530 are 2, 5,653. Prime factorization of 6530 in exponential form is:

6530 = 21×51×6531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6530 and 6532.

LCM(6530,6532) = 22×51×231×711×6531
LCM(6530,6532) = 21326980

Factors of 6530

List of positive integer factors of 6530 that divides 6530 without a remainder.

1, 2, 5, 10, 653, 1306, 3265, 6530

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

Least Common Multiple of 6530 and 6532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6530 and 6532, than apply into the LCM equation.

GCF(6530,6532) = 2
LCM(6530,6532) = ( 6530 × 6532) / 2
LCM(6530,6532) = 42653960 / 2
LCM(6530,6532) = 21326980

Properties of LCM 6530 and 6532

(i) The LCM of 6532 and 6530 is associative

LCM of 6530 and 6532 = LCM of 6532 and 6530

Related Least Common Multiples of 6530

Related Least Common Multiples of 6532

Frequently Asked Questions on LCM of 6530 and 6532

1. What is the LCM of 6530 and 6532?

Answer: LCM of 6530 and 6532 is 21326980.

2. What are the Factors of 6530?

Answer: Factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530. There are 8 integers that are factors of 6530. The greatest factor of 6530 is 6530.

3. 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.

4. How to Find the LCM of 6530 and 6532?

Answer:

Least Common Multiple of 6530 and 6532 = 21326980

Step 1: Find the prime factorization of 6530

6530 = 2 x 5 x 653

Step 2: Find the prime factorization of 6532

6532 = 2 x 2 x 23 x 71

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

LCM = 21326980 = 2 x 2 x 5 x 23 x 71 x 653

Step 4: Therefore, the least common multiple of 6530 and 6532 is 21326980.