Least Common Multiple of 6503 and 6507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6503 and 6507 the smallest integer that is 42315021 that is divisible by both numbers.

Least Common Multiple (LCM) of 6503 and 6507 is 42315021.

LCM(6503,6507) = 42315021

LCM of 6503 and 6507

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

LCM of:
and

Least Common Multiple of 6503 and 6507

LCM of 6503 and 6507 is 42315021

Least common multiple can be found by multiplying the highest exponent prime factors of 6503 and 6507. First we will calculate the prime factors of 6503 and 6507.

Prime Factorization of 6503


7 6503
929 929
1

Prime factors of 6503 are 7,929. Prime factorization of 6503 in exponential form is:

6503 = 71×9291

Prime Factorization of 6507


3 6507
3 2169
3 723
241 241
1

Prime factors of 6507 are 3,241. Prime factorization of 6507 in exponential form is:

6507 = 33×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 6503 and 6507.

LCM(6503,6507) = 33×71×2411×9291
LCM(6503,6507) = 42315021

Factors of 6503

List of positive integer factors of 6503 that divides 6503 without a remainder.

1, 7, 929, 6503

Factors of 6507

List of positive integer factors of 6507 that divides 6507 without a remainder.

1, 3, 9, 27, 241, 723, 2169, 6507

Least Common Multiple of 6503 and 6507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6503 and 6507, than apply into the LCM equation.

GCF(6503,6507) = 1
LCM(6503,6507) = ( 6503 × 6507) / 1
LCM(6503,6507) = 42315021 / 1
LCM(6503,6507) = 42315021

Properties of LCM 6503 and 6507

(i) The LCM of 6507 and 6503 is associative

LCM of 6503 and 6507 = LCM of 6507 and 6503

Related Least Common Multiples of 6503

Related Least Common Multiples of 6507

Frequently Asked Questions on LCM of 6503 and 6507

1. What is the LCM of 6503 and 6507?

Answer: LCM of 6503 and 6507 is 42315021.

2. What are the Factors of 6503?

Answer: Factors of 6503 are 1, 7, 929, 6503. There are 4 integers that are factors of 6503. The greatest factor of 6503 is 6503.

3. What are the Factors of 6507?

Answer: Factors of 6507 are 1, 3, 9, 27, 241, 723, 2169, 6507. There are 8 integers that are factors of 6507. The greatest factor of 6507 is 6507.

4. How to Find the LCM of 6503 and 6507?

Answer:

Least Common Multiple of 6503 and 6507 = 42315021

Step 1: Find the prime factorization of 6503

6503 = 7 x 929

Step 2: Find the prime factorization of 6507

6507 = 3 x 3 x 3 x 241

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

LCM = 42315021 = 3 x 3 x 3 x 7 x 241 x 929

Step 4: Therefore, the least common multiple of 6503 and 6507 is 42315021.