Least Common Multiple of 6489 and 6497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6489 and 6497 the smallest integer that is 42159033 that is divisible by both numbers.

Least Common Multiple (LCM) of 6489 and 6497 is 42159033.

LCM(6489,6497) = 42159033

LCM of 6489 and 6497

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

LCM of:
and

Least Common Multiple of 6489 and 6497

LCM of 6489 and 6497 is 42159033

Least common multiple can be found by multiplying the highest exponent prime factors of 6489 and 6497. First we will calculate the prime factors of 6489 and 6497.

Prime Factorization of 6489


3 6489
3 2163
7 721
103 103
1

Prime factors of 6489 are 3, 7,103. Prime factorization of 6489 in exponential form is:

6489 = 32×71×1031

Prime Factorization of 6497


73 6497
89 89
1

Prime factors of 6497 are 73,89. Prime factorization of 6497 in exponential form is:

6497 = 731×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6489 and 6497.

LCM(6489,6497) = 32×71×731×891×1031
LCM(6489,6497) = 42159033

Factors of 6489

List of positive integer factors of 6489 that divides 6489 without a remainder.

1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489

Factors of 6497

List of positive integer factors of 6497 that divides 6497 without a remainder.

1, 73, 89, 6497

Least Common Multiple of 6489 and 6497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6489 and 6497, than apply into the LCM equation.

GCF(6489,6497) = 1
LCM(6489,6497) = ( 6489 × 6497) / 1
LCM(6489,6497) = 42159033 / 1
LCM(6489,6497) = 42159033

Properties of LCM 6489 and 6497

(i) The LCM of 6497 and 6489 is associative

LCM of 6489 and 6497 = LCM of 6497 and 6489

Related Least Common Multiples of 6489

Related Least Common Multiples of 6497

Frequently Asked Questions on LCM of 6489 and 6497

1. What is the LCM of 6489 and 6497?

Answer: LCM of 6489 and 6497 is 42159033.

2. What are the Factors of 6489?

Answer: Factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489. There are 12 integers that are factors of 6489. The greatest factor of 6489 is 6489.

3. What are the Factors of 6497?

Answer: Factors of 6497 are 1, 73, 89, 6497. There are 4 integers that are factors of 6497. The greatest factor of 6497 is 6497.

4. How to Find the LCM of 6489 and 6497?

Answer:

Least Common Multiple of 6489 and 6497 = 42159033

Step 1: Find the prime factorization of 6489

6489 = 3 x 3 x 7 x 103

Step 2: Find the prime factorization of 6497

6497 = 73 x 89

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

LCM = 42159033 = 3 x 3 x 7 x 73 x 89 x 103

Step 4: Therefore, the least common multiple of 6489 and 6497 is 42159033.