Least Common Multiple of 1589 and 1597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1589 and 1597 the smallest integer that is 2537633 that is divisible by both numbers.

Least Common Multiple (LCM) of 1589 and 1597 is 2537633.

LCM(1589,1597) = 2537633

LCM of 1589 and 1597

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

LCM of:
and

Least Common Multiple of 1589 and 1597

LCM of 1589 and 1597 is 2537633

Least common multiple can be found by multiplying the highest exponent prime factors of 1589 and 1597. First we will calculate the prime factors of 1589 and 1597.

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

Prime Factorization of 1597


1597 1597
1

Prime factors of 1597 are 1597. Prime factorization of 1597 in exponential form is:

1597 = 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 1589 and 1597.

LCM(1589,1597) = 71×2271×15971
LCM(1589,1597) = 2537633

Factors of 1589

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

1, 7, 227, 1589

Factors of 1597

List of positive integer factors of 1597 that divides 1597 without a remainder.

1, 1597

Least Common Multiple of 1589 and 1597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1589 and 1597, than apply into the LCM equation.

GCF(1589,1597) = 1
LCM(1589,1597) = ( 1589 × 1597) / 1
LCM(1589,1597) = 2537633 / 1
LCM(1589,1597) = 2537633

Properties of LCM 1589 and 1597

(i) The LCM of 1597 and 1589 is associative

LCM of 1589 and 1597 = LCM of 1597 and 1589

Related Least Common Multiples of 1589

Related Least Common Multiples of 1597

Frequently Asked Questions on LCM of 1589 and 1597

1. What is the LCM of 1589 and 1597?

Answer: LCM of 1589 and 1597 is 2537633.

2. 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.

3. What are the Factors of 1597?

Answer: Factors of 1597 are 1, 1597. There are 2 integers that are factors of 1597. The greatest factor of 1597 is 1597.

4. How to Find the LCM of 1589 and 1597?

Answer:

Least Common Multiple of 1589 and 1597 = 2537633

Step 1: Find the prime factorization of 1589

1589 = 7 x 227

Step 2: Find the prime factorization of 1597

1597 = 1597

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

LCM = 2537633 = 7 x 227 x 1597

Step 4: Therefore, the least common multiple of 1589 and 1597 is 2537633.