Least Common Multiple of 1583 and 1590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1583 and 1590 the smallest integer that is 2516970 that is divisible by both numbers.

Least Common Multiple (LCM) of 1583 and 1590 is 2516970.

LCM(1583,1590) = 2516970

LCM of 1583 and 1590

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

LCM of:
and

Least Common Multiple of 1583 and 1590

LCM of 1583 and 1590 is 2516970

Least common multiple can be found by multiplying the highest exponent prime factors of 1583 and 1590. First we will calculate the prime factors of 1583 and 1590.

Prime Factorization of 1583


1583 1583
1

Prime factors of 1583 are 1583. Prime factorization of 1583 in exponential form is:

1583 = 15831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1583 and 1590.

LCM(1583,1590) = 21×31×51×531×15831
LCM(1583,1590) = 2516970

Factors of 1583

List of positive integer factors of 1583 that divides 1583 without a remainder.

1, 1583

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

Least Common Multiple of 1583 and 1590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1583 and 1590, than apply into the LCM equation.

GCF(1583,1590) = 1
LCM(1583,1590) = ( 1583 × 1590) / 1
LCM(1583,1590) = 2516970 / 1
LCM(1583,1590) = 2516970

Properties of LCM 1583 and 1590

(i) The LCM of 1590 and 1583 is associative

LCM of 1583 and 1590 = LCM of 1590 and 1583

Related Least Common Multiples of 1583

Related Least Common Multiples of 1590

Frequently Asked Questions on LCM of 1583 and 1590

1. What is the LCM of 1583 and 1590?

Answer: LCM of 1583 and 1590 is 2516970.

2. What are the Factors of 1583?

Answer: Factors of 1583 are 1, 1583. There are 2 integers that are factors of 1583. The greatest factor of 1583 is 1583.

3. 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.

4. How to Find the LCM of 1583 and 1590?

Answer:

Least Common Multiple of 1583 and 1590 = 2516970

Step 1: Find the prime factorization of 1583

1583 = 1583

Step 2: Find the prime factorization of 1590

1590 = 2 x 3 x 5 x 53

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

LCM = 2516970 = 2 x 3 x 5 x 53 x 1583

Step 4: Therefore, the least common multiple of 1583 and 1590 is 2516970.