Least Common Multiple of 6495 and 6500

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 6500 the smallest integer that is 8443500 that is divisible by both numbers.

Least Common Multiple (LCM) of 6495 and 6500 is 8443500.

LCM(6495,6500) = 8443500

LCM of 6495 and 6500

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

LCM of:
and

Least Common Multiple of 6495 and 6500

LCM of 6495 and 6500 is 8443500

Least common multiple can be found by multiplying the highest exponent prime factors of 6495 and 6500. First we will calculate the prime factors of 6495 and 6500.

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 6500


2 6500
2 3250
5 1625
5 325
5 65
13 13
1

Prime factors of 6500 are 2, 5,13. Prime factorization of 6500 in exponential form is:

6500 = 22×53×131

Now multiplying the highest exponent prime factors to calculate the LCM of 6495 and 6500.

LCM(6495,6500) = 22×31×53×131×4331
LCM(6495,6500) = 8443500

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 6500

List of positive integer factors of 6500 that divides 6500 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500

Least Common Multiple of 6495 and 6500 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 6500, than apply into the LCM equation.

GCF(6495,6500) = 5
LCM(6495,6500) = ( 6495 × 6500) / 5
LCM(6495,6500) = 42217500 / 5
LCM(6495,6500) = 8443500

Properties of LCM 6495 and 6500

(i) The LCM of 6500 and 6495 is associative

LCM of 6495 and 6500 = LCM of 6500 and 6495

Related Least Common Multiples of 6495

Related Least Common Multiples of 6500

Frequently Asked Questions on LCM of 6495 and 6500

1. What is the LCM of 6495 and 6500?

Answer: LCM of 6495 and 6500 is 8443500.

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 6500?

Answer: Factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500. There are 24 integers that are factors of 6500. The greatest factor of 6500 is 6500.

4. How to Find the LCM of 6495 and 6500?

Answer:

Least Common Multiple of 6495 and 6500 = 8443500

Step 1: Find the prime factorization of 6495

6495 = 3 x 5 x 433

Step 2: Find the prime factorization of 6500

6500 = 2 x 2 x 5 x 5 x 5 x 13

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

LCM = 8443500 = 2 x 2 x 3 x 5 x 5 x 5 x 13 x 433

Step 4: Therefore, the least common multiple of 6495 and 6500 is 8443500.