Least Common Multiple of 6499 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 6499 and 6500 the smallest integer that is 42243500 that is divisible by both numbers.

Least Common Multiple (LCM) of 6499 and 6500 is 42243500.

LCM(6499,6500) = 42243500

LCM of 6499 and 6500

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

LCM of:
and

Least Common Multiple of 6499 and 6500

LCM of 6499 and 6500 is 42243500

Least common multiple can be found by multiplying the highest exponent prime factors of 6499 and 6500. First we will calculate the prime factors of 6499 and 6500.

Prime Factorization of 6499


67 6499
97 97
1

Prime factors of 6499 are 67,97. Prime factorization of 6499 in exponential form is:

6499 = 671×971

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 6499 and 6500.

LCM(6499,6500) = 22×53×131×671×971
LCM(6499,6500) = 42243500

Factors of 6499

List of positive integer factors of 6499 that divides 6499 without a remainder.

1, 67, 97, 6499

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 6499 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 6499 and 6500, than apply into the LCM equation.

GCF(6499,6500) = 1
LCM(6499,6500) = ( 6499 × 6500) / 1
LCM(6499,6500) = 42243500 / 1
LCM(6499,6500) = 42243500

Properties of LCM 6499 and 6500

(i) The LCM of 6500 and 6499 is associative

LCM of 6499 and 6500 = LCM of 6500 and 6499

Related Least Common Multiples of 6499

Related Least Common Multiples of 6500

Frequently Asked Questions on LCM of 6499 and 6500

1. What is the LCM of 6499 and 6500?

Answer: LCM of 6499 and 6500 is 42243500.

2. What are the Factors of 6499?

Answer: Factors of 6499 are 1, 67, 97, 6499. There are 4 integers that are factors of 6499. The greatest factor of 6499 is 6499.

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 6499 and 6500?

Answer:

Least Common Multiple of 6499 and 6500 = 42243500

Step 1: Find the prime factorization of 6499

6499 = 67 x 97

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 = 42243500 = 2 x 2 x 5 x 5 x 5 x 13 x 67 x 97

Step 4: Therefore, the least common multiple of 6499 and 6500 is 42243500.