Least Common Multiple of 1566 and 1573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1566 and 1573 the smallest integer that is 2463318 that is divisible by both numbers.

Least Common Multiple (LCM) of 1566 and 1573 is 2463318.

LCM(1566,1573) = 2463318

LCM of 1566 and 1573

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

LCM of:
and

Least Common Multiple of 1566 and 1573

LCM of 1566 and 1573 is 2463318

Least common multiple can be found by multiplying the highest exponent prime factors of 1566 and 1573. First we will calculate the prime factors of 1566 and 1573.

Prime Factorization of 1566


2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 1566 are 2, 3,29. Prime factorization of 1566 in exponential form is:

1566 = 21×33×291

Prime Factorization of 1573


11 1573
11 143
13 13
1

Prime factors of 1573 are 11,13. Prime factorization of 1573 in exponential form is:

1573 = 112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1566 and 1573.

LCM(1566,1573) = 21×33×112×131×291
LCM(1566,1573) = 2463318

Factors of 1566

List of positive integer factors of 1566 that divides 1566 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566

Factors of 1573

List of positive integer factors of 1573 that divides 1573 without a remainder.

1, 11, 13, 121, 143, 1573

Least Common Multiple of 1566 and 1573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1566 and 1573, than apply into the LCM equation.

GCF(1566,1573) = 1
LCM(1566,1573) = ( 1566 × 1573) / 1
LCM(1566,1573) = 2463318 / 1
LCM(1566,1573) = 2463318

Properties of LCM 1566 and 1573

(i) The LCM of 1573 and 1566 is associative

LCM of 1566 and 1573 = LCM of 1573 and 1566

Related Least Common Multiples of 1566

Related Least Common Multiples of 1573

Frequently Asked Questions on LCM of 1566 and 1573

1. What is the LCM of 1566 and 1573?

Answer: LCM of 1566 and 1573 is 2463318.

2. What are the Factors of 1566?

Answer: Factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566. There are 16 integers that are factors of 1566. The greatest factor of 1566 is 1566.

3. What are the Factors of 1573?

Answer: Factors of 1573 are 1, 11, 13, 121, 143, 1573. There are 6 integers that are factors of 1573. The greatest factor of 1573 is 1573.

4. How to Find the LCM of 1566 and 1573?

Answer:

Least Common Multiple of 1566 and 1573 = 2463318

Step 1: Find the prime factorization of 1566

1566 = 2 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 1573

1573 = 11 x 11 x 13

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

LCM = 2463318 = 2 x 3 x 3 x 3 x 11 x 11 x 13 x 29

Step 4: Therefore, the least common multiple of 1566 and 1573 is 2463318.