Least Common Multiple of 1566 and 1571

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 1571 the smallest integer that is 2460186 that is divisible by both numbers.

Least Common Multiple (LCM) of 1566 and 1571 is 2460186.

LCM(1566,1571) = 2460186

LCM of 1566 and 1571

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

LCM of:
and

Least Common Multiple of 1566 and 1571

LCM of 1566 and 1571 is 2460186

Least common multiple can be found by multiplying the highest exponent prime factors of 1566 and 1571. First we will calculate the prime factors of 1566 and 1571.

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 1571


1571 1571
1

Prime factors of 1571 are 1571. Prime factorization of 1571 in exponential form is:

1571 = 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 1566 and 1571.

LCM(1566,1571) = 21×33×291×15711
LCM(1566,1571) = 2460186

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 1571

List of positive integer factors of 1571 that divides 1571 without a remainder.

1, 1571

Least Common Multiple of 1566 and 1571 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 1571, than apply into the LCM equation.

GCF(1566,1571) = 1
LCM(1566,1571) = ( 1566 × 1571) / 1
LCM(1566,1571) = 2460186 / 1
LCM(1566,1571) = 2460186

Properties of LCM 1566 and 1571

(i) The LCM of 1571 and 1566 is associative

LCM of 1566 and 1571 = LCM of 1571 and 1566

Related Least Common Multiples of 1566

Related Least Common Multiples of 1571

Frequently Asked Questions on LCM of 1566 and 1571

1. What is the LCM of 1566 and 1571?

Answer: LCM of 1566 and 1571 is 2460186.

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 1571?

Answer: Factors of 1571 are 1, 1571. There are 2 integers that are factors of 1571. The greatest factor of 1571 is 1571.

4. How to Find the LCM of 1566 and 1571?

Answer:

Least Common Multiple of 1566 and 1571 = 2460186

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 1571

1571 = 1571

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

LCM = 2460186 = 2 x 3 x 3 x 3 x 29 x 1571

Step 4: Therefore, the least common multiple of 1566 and 1571 is 2460186.