Least Common Multiple of 6489 and 6493

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 6493 the smallest integer that is 42133077 that is divisible by both numbers.

Least Common Multiple (LCM) of 6489 and 6493 is 42133077.

LCM(6489,6493) = 42133077

LCM of 6489 and 6493

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

LCM of:
and

Least Common Multiple of 6489 and 6493

LCM of 6489 and 6493 is 42133077

Least common multiple can be found by multiplying the highest exponent prime factors of 6489 and 6493. First we will calculate the prime factors of 6489 and 6493.

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 6493


43 6493
151 151
1

Prime factors of 6493 are 43,151. Prime factorization of 6493 in exponential form is:

6493 = 431×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6489 and 6493.

LCM(6489,6493) = 32×71×431×1031×1511
LCM(6489,6493) = 42133077

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 6493

List of positive integer factors of 6493 that divides 6493 without a remainder.

1, 43, 151, 6493

Least Common Multiple of 6489 and 6493 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 6493, than apply into the LCM equation.

GCF(6489,6493) = 1
LCM(6489,6493) = ( 6489 × 6493) / 1
LCM(6489,6493) = 42133077 / 1
LCM(6489,6493) = 42133077

Properties of LCM 6489 and 6493

(i) The LCM of 6493 and 6489 is associative

LCM of 6489 and 6493 = LCM of 6493 and 6489

Related Least Common Multiples of 6489

Related Least Common Multiples of 6493

Frequently Asked Questions on LCM of 6489 and 6493

1. What is the LCM of 6489 and 6493?

Answer: LCM of 6489 and 6493 is 42133077.

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 6493?

Answer: Factors of 6493 are 1, 43, 151, 6493. There are 4 integers that are factors of 6493. The greatest factor of 6493 is 6493.

4. How to Find the LCM of 6489 and 6493?

Answer:

Least Common Multiple of 6489 and 6493 = 42133077

Step 1: Find the prime factorization of 6489

6489 = 3 x 3 x 7 x 103

Step 2: Find the prime factorization of 6493

6493 = 43 x 151

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

LCM = 42133077 = 3 x 3 x 7 x 43 x 103 x 151

Step 4: Therefore, the least common multiple of 6489 and 6493 is 42133077.