Least Common Multiple of 6489 and 6494

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 6494 the smallest integer that is 42139566 that is divisible by both numbers.

Least Common Multiple (LCM) of 6489 and 6494 is 42139566.

LCM(6489,6494) = 42139566

LCM of 6489 and 6494

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

LCM of:
and

Least Common Multiple of 6489 and 6494

LCM of 6489 and 6494 is 42139566

Least common multiple can be found by multiplying the highest exponent prime factors of 6489 and 6494. First we will calculate the prime factors of 6489 and 6494.

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 6494


2 6494
17 3247
191 191
1

Prime factors of 6494 are 2, 17,191. Prime factorization of 6494 in exponential form is:

6494 = 21×171×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6489 and 6494.

LCM(6489,6494) = 21×32×71×171×1031×1911
LCM(6489,6494) = 42139566

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 6494

List of positive integer factors of 6494 that divides 6494 without a remainder.

1, 2, 17, 34, 191, 382, 3247, 6494

Least Common Multiple of 6489 and 6494 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 6494, than apply into the LCM equation.

GCF(6489,6494) = 1
LCM(6489,6494) = ( 6489 × 6494) / 1
LCM(6489,6494) = 42139566 / 1
LCM(6489,6494) = 42139566

Properties of LCM 6489 and 6494

(i) The LCM of 6494 and 6489 is associative

LCM of 6489 and 6494 = LCM of 6494 and 6489

Related Least Common Multiples of 6489

Related Least Common Multiples of 6494

Frequently Asked Questions on LCM of 6489 and 6494

1. What is the LCM of 6489 and 6494?

Answer: LCM of 6489 and 6494 is 42139566.

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 6494?

Answer: Factors of 6494 are 1, 2, 17, 34, 191, 382, 3247, 6494. There are 8 integers that are factors of 6494. The greatest factor of 6494 is 6494.

4. How to Find the LCM of 6489 and 6494?

Answer:

Least Common Multiple of 6489 and 6494 = 42139566

Step 1: Find the prime factorization of 6489

6489 = 3 x 3 x 7 x 103

Step 2: Find the prime factorization of 6494

6494 = 2 x 17 x 191

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

LCM = 42139566 = 2 x 3 x 3 x 7 x 17 x 103 x 191

Step 4: Therefore, the least common multiple of 6489 and 6494 is 42139566.