Least Common Multiple of 1584 and 1591

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 1591 the smallest integer that is 2520144 that is divisible by both numbers.

Least Common Multiple (LCM) of 1584 and 1591 is 2520144.

LCM(1584,1591) = 2520144

LCM of 1584 and 1591

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

LCM of:
and

Least Common Multiple of 1584 and 1591

LCM of 1584 and 1591 is 2520144

Least common multiple can be found by multiplying the highest exponent prime factors of 1584 and 1591. First we will calculate the prime factors of 1584 and 1591.

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 1591


37 1591
43 43
1

Prime factors of 1591 are 37,43. Prime factorization of 1591 in exponential form is:

1591 = 371×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1584 and 1591.

LCM(1584,1591) = 24×32×111×371×431
LCM(1584,1591) = 2520144

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 1591

List of positive integer factors of 1591 that divides 1591 without a remainder.

1, 37, 43, 1591

Least Common Multiple of 1584 and 1591 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 1591, than apply into the LCM equation.

GCF(1584,1591) = 1
LCM(1584,1591) = ( 1584 × 1591) / 1
LCM(1584,1591) = 2520144 / 1
LCM(1584,1591) = 2520144

Properties of LCM 1584 and 1591

(i) The LCM of 1591 and 1584 is associative

LCM of 1584 and 1591 = LCM of 1591 and 1584

Related Least Common Multiples of 1584

Related Least Common Multiples of 1591

Frequently Asked Questions on LCM of 1584 and 1591

1. What is the LCM of 1584 and 1591?

Answer: LCM of 1584 and 1591 is 2520144.

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 1591?

Answer: Factors of 1591 are 1, 37, 43, 1591. There are 4 integers that are factors of 1591. The greatest factor of 1591 is 1591.

4. How to Find the LCM of 1584 and 1591?

Answer:

Least Common Multiple of 1584 and 1591 = 2520144

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 1591

1591 = 37 x 43

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

LCM = 2520144 = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 37 x 43

Step 4: Therefore, the least common multiple of 1584 and 1591 is 2520144.