Least Common Multiple of 1584 and 1588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1584 and 1588 the smallest integer that is 628848 that is divisible by both numbers.

Least Common Multiple (LCM) of 1584 and 1588 is 628848.

LCM(1584,1588) = 628848

LCM of 1584 and 1588

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

LCM of:
and

Least Common Multiple of 1584 and 1588

LCM of 1584 and 1588 is 628848

Least common multiple can be found by multiplying the highest exponent prime factors of 1584 and 1588. First we will calculate the prime factors of 1584 and 1588.

Prime Factorization of 1584


2 1584
2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 1584 are 2, 3,11. Prime factorization of 1584 in exponential form is:

1584 = 24×32×111

Prime Factorization of 1588


2 1588
2 794
397 397
1

Prime factors of 1588 are 2,397. Prime factorization of 1588 in exponential form is:

1588 = 22×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 1584 and 1588.

LCM(1584,1588) = 24×32×111×3971
LCM(1584,1588) = 628848

Factors of 1584

List of positive integer factors of 1584 that divides 1584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584

Factors of 1588

List of positive integer factors of 1588 that divides 1588 without a remainder.

1, 2, 4, 397, 794, 1588

Least Common Multiple of 1584 and 1588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1584 and 1588, than apply into the LCM equation.

GCF(1584,1588) = 4
LCM(1584,1588) = ( 1584 × 1588) / 4
LCM(1584,1588) = 2515392 / 4
LCM(1584,1588) = 628848

Properties of LCM 1584 and 1588

(i) The LCM of 1588 and 1584 is associative

LCM of 1584 and 1588 = LCM of 1588 and 1584

Related Least Common Multiples of 1584

Related Least Common Multiples of 1588

Frequently Asked Questions on LCM of 1584 and 1588

1. What is the LCM of 1584 and 1588?

Answer: LCM of 1584 and 1588 is 628848.

2. What are the Factors of 1584?

Answer: Factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584. There are 30 integers that are factors of 1584. The greatest factor of 1584 is 1584.

3. What are the Factors of 1588?

Answer: Factors of 1588 are 1, 2, 4, 397, 794, 1588. There are 6 integers that are factors of 1588. The greatest factor of 1588 is 1588.

4. How to Find the LCM of 1584 and 1588?

Answer:

Least Common Multiple of 1584 and 1588 = 628848

Step 1: Find the prime factorization of 1584

1584 = 2 x 2 x 2 x 2 x 3 x 3 x 11

Step 2: Find the prime factorization of 1588

1588 = 2 x 2 x 397

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

LCM = 628848 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 397

Step 4: Therefore, the least common multiple of 1584 and 1588 is 628848.