Least Common Multiple of 1583 and 1589

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 1589 the smallest integer that is 2515387 that is divisible by both numbers.

Least Common Multiple (LCM) of 1583 and 1589 is 2515387.

LCM(1583,1589) = 2515387

LCM of 1583 and 1589

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

LCM of:
and

Least Common Multiple of 1583 and 1589

LCM of 1583 and 1589 is 2515387

Least common multiple can be found by multiplying the highest exponent prime factors of 1583 and 1589. First we will calculate the prime factors of 1583 and 1589.

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 1589


7 1589
227 227
1

Prime factors of 1589 are 7,227. Prime factorization of 1589 in exponential form is:

1589 = 71×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 1583 and 1589.

LCM(1583,1589) = 71×2271×15831
LCM(1583,1589) = 2515387

Factors of 1583

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

1, 1583

Factors of 1589

List of positive integer factors of 1589 that divides 1589 without a remainder.

1, 7, 227, 1589

Least Common Multiple of 1583 and 1589 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 1589, than apply into the LCM equation.

GCF(1583,1589) = 1
LCM(1583,1589) = ( 1583 × 1589) / 1
LCM(1583,1589) = 2515387 / 1
LCM(1583,1589) = 2515387

Properties of LCM 1583 and 1589

(i) The LCM of 1589 and 1583 is associative

LCM of 1583 and 1589 = LCM of 1589 and 1583

Related Least Common Multiples of 1583

Related Least Common Multiples of 1589

Frequently Asked Questions on LCM of 1583 and 1589

1. What is the LCM of 1583 and 1589?

Answer: LCM of 1583 and 1589 is 2515387.

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 1589?

Answer: Factors of 1589 are 1, 7, 227, 1589. There are 4 integers that are factors of 1589. The greatest factor of 1589 is 1589.

4. How to Find the LCM of 1583 and 1589?

Answer:

Least Common Multiple of 1583 and 1589 = 2515387

Step 1: Find the prime factorization of 1583

1583 = 1583

Step 2: Find the prime factorization of 1589

1589 = 7 x 227

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

LCM = 2515387 = 7 x 227 x 1583

Step 4: Therefore, the least common multiple of 1583 and 1589 is 2515387.