Least Common Multiple of 6584 and 6590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6584 and 6590 the smallest integer that is 21694280 that is divisible by both numbers.

Least Common Multiple (LCM) of 6584 and 6590 is 21694280.

LCM(6584,6590) = 21694280

LCM of 6584 and 6590

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

LCM of:
and

Least Common Multiple of 6584 and 6590

LCM of 6584 and 6590 is 21694280

Least common multiple can be found by multiplying the highest exponent prime factors of 6584 and 6590. First we will calculate the prime factors of 6584 and 6590.

Prime Factorization of 6584


2 6584
2 3292
2 1646
823 823
1

Prime factors of 6584 are 2,823. Prime factorization of 6584 in exponential form is:

6584 = 23×8231

Prime Factorization of 6590


2 6590
5 3295
659 659
1

Prime factors of 6590 are 2, 5,659. Prime factorization of 6590 in exponential form is:

6590 = 21×51×6591

Now multiplying the highest exponent prime factors to calculate the LCM of 6584 and 6590.

LCM(6584,6590) = 23×51×6591×8231
LCM(6584,6590) = 21694280

Factors of 6584

List of positive integer factors of 6584 that divides 6584 without a remainder.

1, 2, 4, 8, 823, 1646, 3292, 6584

Factors of 6590

List of positive integer factors of 6590 that divides 6590 without a remainder.

1, 2, 5, 10, 659, 1318, 3295, 6590

Least Common Multiple of 6584 and 6590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6584 and 6590, than apply into the LCM equation.

GCF(6584,6590) = 2
LCM(6584,6590) = ( 6584 × 6590) / 2
LCM(6584,6590) = 43388560 / 2
LCM(6584,6590) = 21694280

Properties of LCM 6584 and 6590

(i) The LCM of 6590 and 6584 is associative

LCM of 6584 and 6590 = LCM of 6590 and 6584

Related Least Common Multiples of 6584

Related Least Common Multiples of 6590

Frequently Asked Questions on LCM of 6584 and 6590

1. What is the LCM of 6584 and 6590?

Answer: LCM of 6584 and 6590 is 21694280.

2. What are the Factors of 6584?

Answer: Factors of 6584 are 1, 2, 4, 8, 823, 1646, 3292, 6584. There are 8 integers that are factors of 6584. The greatest factor of 6584 is 6584.

3. What are the Factors of 6590?

Answer: Factors of 6590 are 1, 2, 5, 10, 659, 1318, 3295, 6590. There are 8 integers that are factors of 6590. The greatest factor of 6590 is 6590.

4. How to Find the LCM of 6584 and 6590?

Answer:

Least Common Multiple of 6584 and 6590 = 21694280

Step 1: Find the prime factorization of 6584

6584 = 2 x 2 x 2 x 823

Step 2: Find the prime factorization of 6590

6590 = 2 x 5 x 659

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

LCM = 21694280 = 2 x 2 x 2 x 5 x 659 x 823

Step 4: Therefore, the least common multiple of 6584 and 6590 is 21694280.