Least Common Multiple of 6502 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 6502 and 6510 the smallest integer that is 21164010 that is divisible by both numbers.

Least Common Multiple (LCM) of 6502 and 6510 is 21164010.

LCM(6502,6510) = 21164010

LCM of 6502 and 6510

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

LCM of:
and

Least Common Multiple of 6502 and 6510

LCM of 6502 and 6510 is 21164010

Least common multiple can be found by multiplying the highest exponent prime factors of 6502 and 6510. First we will calculate the prime factors of 6502 and 6510.

Prime Factorization of 6502


2 6502
3251 3251
1

Prime factors of 6502 are 2,3251. Prime factorization of 6502 in exponential form is:

6502 = 21×32511

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 6502 and 6510.

LCM(6502,6510) = 21×31×51×71×311×32511
LCM(6502,6510) = 21164010

Factors of 6502

List of positive integer factors of 6502 that divides 6502 without a remainder.

1, 2, 3251, 6502

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 6502 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 6502 and 6510, than apply into the LCM equation.

GCF(6502,6510) = 2
LCM(6502,6510) = ( 6502 × 6510) / 2
LCM(6502,6510) = 42328020 / 2
LCM(6502,6510) = 21164010

Properties of LCM 6502 and 6510

(i) The LCM of 6510 and 6502 is associative

LCM of 6502 and 6510 = LCM of 6510 and 6502

Related Least Common Multiples of 6502

Related Least Common Multiples of 6510

Frequently Asked Questions on LCM of 6502 and 6510

1. What is the LCM of 6502 and 6510?

Answer: LCM of 6502 and 6510 is 21164010.

2. What are the Factors of 6502?

Answer: Factors of 6502 are 1, 2, 3251, 6502. There are 4 integers that are factors of 6502. The greatest factor of 6502 is 6502.

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 6502 and 6510?

Answer:

Least Common Multiple of 6502 and 6510 = 21164010

Step 1: Find the prime factorization of 6502

6502 = 2 x 3251

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 = 21164010 = 2 x 3 x 5 x 7 x 31 x 3251

Step 4: Therefore, the least common multiple of 6502 and 6510 is 21164010.