Least Common Multiple of 6484 and 6489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6484 and 6489 the smallest integer that is 42074676 that is divisible by both numbers.

Least Common Multiple (LCM) of 6484 and 6489 is 42074676.

LCM(6484,6489) = 42074676

LCM of 6484 and 6489

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

LCM of:
and

Least Common Multiple of 6484 and 6489

LCM of 6484 and 6489 is 42074676

Least common multiple can be found by multiplying the highest exponent prime factors of 6484 and 6489. First we will calculate the prime factors of 6484 and 6489.

Prime Factorization of 6484


2 6484
2 3242
1621 1621
1

Prime factors of 6484 are 2,1621. Prime factorization of 6484 in exponential form is:

6484 = 22×16211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6484 and 6489.

LCM(6484,6489) = 22×32×71×1031×16211
LCM(6484,6489) = 42074676

Factors of 6484

List of positive integer factors of 6484 that divides 6484 without a remainder.

1, 2, 4, 1621, 3242, 6484

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

Least Common Multiple of 6484 and 6489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6484 and 6489, than apply into the LCM equation.

GCF(6484,6489) = 1
LCM(6484,6489) = ( 6484 × 6489) / 1
LCM(6484,6489) = 42074676 / 1
LCM(6484,6489) = 42074676

Properties of LCM 6484 and 6489

(i) The LCM of 6489 and 6484 is associative

LCM of 6484 and 6489 = LCM of 6489 and 6484

Related Least Common Multiples of 6484

Related Least Common Multiples of 6489

Frequently Asked Questions on LCM of 6484 and 6489

1. What is the LCM of 6484 and 6489?

Answer: LCM of 6484 and 6489 is 42074676.

2. What are the Factors of 6484?

Answer: Factors of 6484 are 1, 2, 4, 1621, 3242, 6484. There are 6 integers that are factors of 6484. The greatest factor of 6484 is 6484.

3. 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.

4. How to Find the LCM of 6484 and 6489?

Answer:

Least Common Multiple of 6484 and 6489 = 42074676

Step 1: Find the prime factorization of 6484

6484 = 2 x 2 x 1621

Step 2: Find the prime factorization of 6489

6489 = 3 x 3 x 7 x 103

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

LCM = 42074676 = 2 x 2 x 3 x 3 x 7 x 103 x 1621

Step 4: Therefore, the least common multiple of 6484 and 6489 is 42074676.