Least Common Multiple of 1590 and 1593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1590 and 1593 the smallest integer that is 844290 that is divisible by both numbers.

Least Common Multiple (LCM) of 1590 and 1593 is 844290.

LCM(1590,1593) = 844290

LCM of 1590 and 1593

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

LCM of:
and

Least Common Multiple of 1590 and 1593

LCM of 1590 and 1593 is 844290

Least common multiple can be found by multiplying the highest exponent prime factors of 1590 and 1593. First we will calculate the prime factors of 1590 and 1593.

Prime Factorization of 1590


2 1590
3 795
5 265
53 53
1

Prime factors of 1590 are 2, 3, 5,53. Prime factorization of 1590 in exponential form is:

1590 = 21×31×51×531

Prime Factorization of 1593


3 1593
3 531
3 177
59 59
1

Prime factors of 1593 are 3,59. Prime factorization of 1593 in exponential form is:

1593 = 33×591

Now multiplying the highest exponent prime factors to calculate the LCM of 1590 and 1593.

LCM(1590,1593) = 21×33×51×531×591
LCM(1590,1593) = 844290

Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590

Factors of 1593

List of positive integer factors of 1593 that divides 1593 without a remainder.

1, 3, 9, 27, 59, 177, 531, 1593

Least Common Multiple of 1590 and 1593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1590 and 1593, than apply into the LCM equation.

GCF(1590,1593) = 3
LCM(1590,1593) = ( 1590 × 1593) / 3
LCM(1590,1593) = 2532870 / 3
LCM(1590,1593) = 844290

Properties of LCM 1590 and 1593

(i) The LCM of 1593 and 1590 is associative

LCM of 1590 and 1593 = LCM of 1593 and 1590

Related Least Common Multiples of 1590

Related Least Common Multiples of 1593

Frequently Asked Questions on LCM of 1590 and 1593

1. What is the LCM of 1590 and 1593?

Answer: LCM of 1590 and 1593 is 844290.

2. What are the Factors of 1590?

Answer: Factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590. There are 16 integers that are factors of 1590. The greatest factor of 1590 is 1590.

3. What are the Factors of 1593?

Answer: Factors of 1593 are 1, 3, 9, 27, 59, 177, 531, 1593. There are 8 integers that are factors of 1593. The greatest factor of 1593 is 1593.

4. How to Find the LCM of 1590 and 1593?

Answer:

Least Common Multiple of 1590 and 1593 = 844290

Step 1: Find the prime factorization of 1590

1590 = 2 x 3 x 5 x 53

Step 2: Find the prime factorization of 1593

1593 = 3 x 3 x 3 x 59

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

LCM = 844290 = 2 x 3 x 3 x 3 x 5 x 53 x 59

Step 4: Therefore, the least common multiple of 1590 and 1593 is 844290.