Least Common Multiple of 6505 and 6510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6505 and 6510 the smallest integer that is 8469510 that is divisible by both numbers.

Least Common Multiple (LCM) of 6505 and 6510 is 8469510.

LCM(6505,6510) = 8469510

LCM of 6505 and 6510

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

LCM of:
and

Least Common Multiple of 6505 and 6510

LCM of 6505 and 6510 is 8469510

Least common multiple can be found by multiplying the highest exponent prime factors of 6505 and 6510. First we will calculate the prime factors of 6505 and 6510.

Prime Factorization of 6505


5 6505
1301 1301
1

Prime factors of 6505 are 5,1301. Prime factorization of 6505 in exponential form is:

6505 = 51×13011

Prime Factorization of 6510


2 6510
3 3255
5 1085
7 217
31 31
1

Prime factors of 6510 are 2, 3, 5, 7,31. Prime factorization of 6510 in exponential form is:

6510 = 21×31×51×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 6505 and 6510.

LCM(6505,6510) = 21×31×51×71×311×13011
LCM(6505,6510) = 8469510

Factors of 6505

List of positive integer factors of 6505 that divides 6505 without a remainder.

1, 5, 1301, 6505

Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510

Least Common Multiple of 6505 and 6510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6505 and 6510, than apply into the LCM equation.

GCF(6505,6510) = 5
LCM(6505,6510) = ( 6505 × 6510) / 5
LCM(6505,6510) = 42347550 / 5
LCM(6505,6510) = 8469510

Properties of LCM 6505 and 6510

(i) The LCM of 6510 and 6505 is associative

LCM of 6505 and 6510 = LCM of 6510 and 6505

Related Least Common Multiples of 6505

Related Least Common Multiples of 6510

Frequently Asked Questions on LCM of 6505 and 6510

1. What is the LCM of 6505 and 6510?

Answer: LCM of 6505 and 6510 is 8469510.

2. What are the Factors of 6505?

Answer: Factors of 6505 are 1, 5, 1301, 6505. There are 4 integers that are factors of 6505. The greatest factor of 6505 is 6505.

3. What are the Factors of 6510?

Answer: Factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510. There are 32 integers that are factors of 6510. The greatest factor of 6510 is 6510.

4. How to Find the LCM of 6505 and 6510?

Answer:

Least Common Multiple of 6505 and 6510 = 8469510

Step 1: Find the prime factorization of 6505

6505 = 5 x 1301

Step 2: Find the prime factorization of 6510

6510 = 2 x 3 x 5 x 7 x 31

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

LCM = 8469510 = 2 x 3 x 5 x 7 x 31 x 1301

Step 4: Therefore, the least common multiple of 6505 and 6510 is 8469510.