Least Common Multiple of 1566 and 1572

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 1572 the smallest integer that is 410292 that is divisible by both numbers.

Least Common Multiple (LCM) of 1566 and 1572 is 410292.

LCM(1566,1572) = 410292

LCM of 1566 and 1572

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

LCM of:
and

Least Common Multiple of 1566 and 1572

LCM of 1566 and 1572 is 410292

Least common multiple can be found by multiplying the highest exponent prime factors of 1566 and 1572. First we will calculate the prime factors of 1566 and 1572.

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 1572


2 1572
2 786
3 393
131 131
1

Prime factors of 1572 are 2, 3,131. Prime factorization of 1572 in exponential form is:

1572 = 22×31×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1566 and 1572.

LCM(1566,1572) = 22×33×291×1311
LCM(1566,1572) = 410292

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 1572

List of positive integer factors of 1572 that divides 1572 without a remainder.

1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572

Least Common Multiple of 1566 and 1572 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 1572, than apply into the LCM equation.

GCF(1566,1572) = 6
LCM(1566,1572) = ( 1566 × 1572) / 6
LCM(1566,1572) = 2461752 / 6
LCM(1566,1572) = 410292

Properties of LCM 1566 and 1572

(i) The LCM of 1572 and 1566 is associative

LCM of 1566 and 1572 = LCM of 1572 and 1566

Related Least Common Multiples of 1566

Related Least Common Multiples of 1572

Frequently Asked Questions on LCM of 1566 and 1572

1. What is the LCM of 1566 and 1572?

Answer: LCM of 1566 and 1572 is 410292.

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 1572?

Answer: Factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572. There are 12 integers that are factors of 1572. The greatest factor of 1572 is 1572.

4. How to Find the LCM of 1566 and 1572?

Answer:

Least Common Multiple of 1566 and 1572 = 410292

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 1572

1572 = 2 x 2 x 3 x 131

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

LCM = 410292 = 2 x 2 x 3 x 3 x 3 x 29 x 131

Step 4: Therefore, the least common multiple of 1566 and 1572 is 410292.