Least Common Multiple of 6495 and 6503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6495 and 6503 the smallest integer that is 42236985 that is divisible by both numbers.

Least Common Multiple (LCM) of 6495 and 6503 is 42236985.

LCM(6495,6503) = 42236985

LCM of 6495 and 6503

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

LCM of:
and

Least Common Multiple of 6495 and 6503

LCM of 6495 and 6503 is 42236985

Least common multiple can be found by multiplying the highest exponent prime factors of 6495 and 6503. First we will calculate the prime factors of 6495 and 6503.

Prime Factorization of 6495


3 6495
5 2165
433 433
1

Prime factors of 6495 are 3, 5,433. Prime factorization of 6495 in exponential form is:

6495 = 31×51×4331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6495 and 6503.

LCM(6495,6503) = 31×51×71×4331×9291
LCM(6495,6503) = 42236985

Factors of 6495

List of positive integer factors of 6495 that divides 6495 without a remainder.

1, 3, 5, 15, 433, 1299, 2165, 6495

Factors of 6503

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

1, 7, 929, 6503

Least Common Multiple of 6495 and 6503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6495 and 6503, than apply into the LCM equation.

GCF(6495,6503) = 1
LCM(6495,6503) = ( 6495 × 6503) / 1
LCM(6495,6503) = 42236985 / 1
LCM(6495,6503) = 42236985

Properties of LCM 6495 and 6503

(i) The LCM of 6503 and 6495 is associative

LCM of 6495 and 6503 = LCM of 6503 and 6495

Related Least Common Multiples of 6495

Related Least Common Multiples of 6503

Frequently Asked Questions on LCM of 6495 and 6503

1. What is the LCM of 6495 and 6503?

Answer: LCM of 6495 and 6503 is 42236985.

2. What are the Factors of 6495?

Answer: Factors of 6495 are 1, 3, 5, 15, 433, 1299, 2165, 6495. There are 8 integers that are factors of 6495. The greatest factor of 6495 is 6495.

3. 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.

4. How to Find the LCM of 6495 and 6503?

Answer:

Least Common Multiple of 6495 and 6503 = 42236985

Step 1: Find the prime factorization of 6495

6495 = 3 x 5 x 433

Step 2: Find the prime factorization of 6503

6503 = 7 x 929

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

LCM = 42236985 = 3 x 5 x 7 x 433 x 929

Step 4: Therefore, the least common multiple of 6495 and 6503 is 42236985.