Least Common Multiple of 6530 and 6534

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 6534 the smallest integer that is 21333510 that is divisible by both numbers.

Least Common Multiple (LCM) of 6530 and 6534 is 21333510.

LCM(6530,6534) = 21333510

LCM of 6530 and 6534

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

LCM of:
and

Least Common Multiple of 6530 and 6534

LCM of 6530 and 6534 is 21333510

Least common multiple can be found by multiplying the highest exponent prime factors of 6530 and 6534. First we will calculate the prime factors of 6530 and 6534.

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 6534


2 6534
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 6534 are 2, 3,11. Prime factorization of 6534 in exponential form is:

6534 = 21×33×112

Now multiplying the highest exponent prime factors to calculate the LCM of 6530 and 6534.

LCM(6530,6534) = 21×33×51×112×6531
LCM(6530,6534) = 21333510

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 6534

List of positive integer factors of 6534 that divides 6534 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267, 6534

Least Common Multiple of 6530 and 6534 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 6534, than apply into the LCM equation.

GCF(6530,6534) = 2
LCM(6530,6534) = ( 6530 × 6534) / 2
LCM(6530,6534) = 42667020 / 2
LCM(6530,6534) = 21333510

Properties of LCM 6530 and 6534

(i) The LCM of 6534 and 6530 is associative

LCM of 6530 and 6534 = LCM of 6534 and 6530

Related Least Common Multiples of 6530

Related Least Common Multiples of 6534

Frequently Asked Questions on LCM of 6530 and 6534

1. What is the LCM of 6530 and 6534?

Answer: LCM of 6530 and 6534 is 21333510.

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 6534?

Answer: Factors of 6534 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 121, 198, 242, 297, 363, 594, 726, 1089, 2178, 3267, 6534. There are 24 integers that are factors of 6534. The greatest factor of 6534 is 6534.

4. How to Find the LCM of 6530 and 6534?

Answer:

Least Common Multiple of 6530 and 6534 = 21333510

Step 1: Find the prime factorization of 6530

6530 = 2 x 5 x 653

Step 2: Find the prime factorization of 6534

6534 = 2 x 3 x 3 x 3 x 11 x 11

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

LCM = 21333510 = 2 x 3 x 3 x 3 x 5 x 11 x 11 x 653

Step 4: Therefore, the least common multiple of 6530 and 6534 is 21333510.