Least Common Multiple of 3584 and 3590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3584 and 3590 the smallest integer that is 6433280 that is divisible by both numbers.

Least Common Multiple (LCM) of 3584 and 3590 is 6433280.

LCM(3584,3590) = 6433280

LCM of 3584 and 3590

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

LCM of:
and

Least Common Multiple of 3584 and 3590

LCM of 3584 and 3590 is 6433280

Least common multiple can be found by multiplying the highest exponent prime factors of 3584 and 3590. First we will calculate the prime factors of 3584 and 3590.

Prime Factorization of 3584


2 3584
2 1792
2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 3584 are 2,7. Prime factorization of 3584 in exponential form is:

3584 = 29×71

Prime Factorization of 3590


2 3590
5 1795
359 359
1

Prime factors of 3590 are 2, 5,359. Prime factorization of 3590 in exponential form is:

3590 = 21×51×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 3584 and 3590.

LCM(3584,3590) = 29×51×71×3591
LCM(3584,3590) = 6433280

Factors of 3584

List of positive integer factors of 3584 that divides 3584 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584

Factors of 3590

List of positive integer factors of 3590 that divides 3590 without a remainder.

1, 2, 5, 10, 359, 718, 1795, 3590

Least Common Multiple of 3584 and 3590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3584 and 3590, than apply into the LCM equation.

GCF(3584,3590) = 2
LCM(3584,3590) = ( 3584 × 3590) / 2
LCM(3584,3590) = 12866560 / 2
LCM(3584,3590) = 6433280

Properties of LCM 3584 and 3590

(i) The LCM of 3590 and 3584 is associative

LCM of 3584 and 3590 = LCM of 3590 and 3584

Related Least Common Multiples of 3584

Related Least Common Multiples of 3590

Frequently Asked Questions on LCM of 3584 and 3590

1. What is the LCM of 3584 and 3590?

Answer: LCM of 3584 and 3590 is 6433280.

2. What are the Factors of 3584?

Answer: Factors of 3584 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584. There are 20 integers that are factors of 3584. The greatest factor of 3584 is 3584.

3. What are the Factors of 3590?

Answer: Factors of 3590 are 1, 2, 5, 10, 359, 718, 1795, 3590. There are 8 integers that are factors of 3590. The greatest factor of 3590 is 3590.

4. How to Find the LCM of 3584 and 3590?

Answer:

Least Common Multiple of 3584 and 3590 = 6433280

Step 1: Find the prime factorization of 3584

3584 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Step 2: Find the prime factorization of 3590

3590 = 2 x 5 x 359

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

LCM = 6433280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 359

Step 4: Therefore, the least common multiple of 3584 and 3590 is 6433280.