Least Common Multiple of 6502 and 6509

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 6509 the smallest integer that is 42321518 that is divisible by both numbers.

Least Common Multiple (LCM) of 6502 and 6509 is 42321518.

LCM(6502,6509) = 42321518

LCM of 6502 and 6509

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

LCM of:
and

Least Common Multiple of 6502 and 6509

LCM of 6502 and 6509 is 42321518

Least common multiple can be found by multiplying the highest exponent prime factors of 6502 and 6509. First we will calculate the prime factors of 6502 and 6509.

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 6509


23 6509
283 283
1

Prime factors of 6509 are 23,283. Prime factorization of 6509 in exponential form is:

6509 = 231×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 6502 and 6509.

LCM(6502,6509) = 21×231×2831×32511
LCM(6502,6509) = 42321518

Factors of 6502

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

1, 2, 3251, 6502

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1, 23, 283, 6509

Least Common Multiple of 6502 and 6509 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 6509, than apply into the LCM equation.

GCF(6502,6509) = 1
LCM(6502,6509) = ( 6502 × 6509) / 1
LCM(6502,6509) = 42321518 / 1
LCM(6502,6509) = 42321518

Properties of LCM 6502 and 6509

(i) The LCM of 6509 and 6502 is associative

LCM of 6502 and 6509 = LCM of 6509 and 6502

Related Least Common Multiples of 6502

Related Least Common Multiples of 6509

Frequently Asked Questions on LCM of 6502 and 6509

1. What is the LCM of 6502 and 6509?

Answer: LCM of 6502 and 6509 is 42321518.

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 6509?

Answer: Factors of 6509 are 1, 23, 283, 6509. There are 4 integers that are factors of 6509. The greatest factor of 6509 is 6509.

4. How to Find the LCM of 6502 and 6509?

Answer:

Least Common Multiple of 6502 and 6509 = 42321518

Step 1: Find the prime factorization of 6502

6502 = 2 x 3251

Step 2: Find the prime factorization of 6509

6509 = 23 x 283

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

LCM = 42321518 = 2 x 23 x 283 x 3251

Step 4: Therefore, the least common multiple of 6502 and 6509 is 42321518.