Least Common Multiple of 6530 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 6530 and 6536 the smallest integer that is 21340040 that is divisible by both numbers.

Least Common Multiple (LCM) of 6530 and 6536 is 21340040.

LCM(6530,6536) = 21340040

LCM of 6530 and 6536

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

LCM of:
and

Least Common Multiple of 6530 and 6536

LCM of 6530 and 6536 is 21340040

Least common multiple can be found by multiplying the highest exponent prime factors of 6530 and 6536. First we will calculate the prime factors of 6530 and 6536.

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 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 6530 and 6536.

LCM(6530,6536) = 23×51×191×431×6531
LCM(6530,6536) = 21340040

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 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 6530 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 6530 and 6536, than apply into the LCM equation.

GCF(6530,6536) = 2
LCM(6530,6536) = ( 6530 × 6536) / 2
LCM(6530,6536) = 42680080 / 2
LCM(6530,6536) = 21340040

Properties of LCM 6530 and 6536

(i) The LCM of 6536 and 6530 is associative

LCM of 6530 and 6536 = LCM of 6536 and 6530

Related Least Common Multiples of 6530

Related Least Common Multiples of 6536

Frequently Asked Questions on LCM of 6530 and 6536

1. What is the LCM of 6530 and 6536?

Answer: LCM of 6530 and 6536 is 21340040.

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 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 6530 and 6536?

Answer:

Least Common Multiple of 6530 and 6536 = 21340040

Step 1: Find the prime factorization of 6530

6530 = 2 x 5 x 653

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 = 21340040 = 2 x 2 x 2 x 5 x 19 x 43 x 653

Step 4: Therefore, the least common multiple of 6530 and 6536 is 21340040.