Least Common Multiple of 1566 and 1570

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 1570 the smallest integer that is 1229310 that is divisible by both numbers.

Least Common Multiple (LCM) of 1566 and 1570 is 1229310.

LCM(1566,1570) = 1229310

LCM of 1566 and 1570

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

LCM of:
and

Least Common Multiple of 1566 and 1570

LCM of 1566 and 1570 is 1229310

Least common multiple can be found by multiplying the highest exponent prime factors of 1566 and 1570. First we will calculate the prime factors of 1566 and 1570.

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 1570


2 1570
5 785
157 157
1

Prime factors of 1570 are 2, 5,157. Prime factorization of 1570 in exponential form is:

1570 = 21×51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1566 and 1570.

LCM(1566,1570) = 21×33×51×291×1571
LCM(1566,1570) = 1229310

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 1570

List of positive integer factors of 1570 that divides 1570 without a remainder.

1, 2, 5, 10, 157, 314, 785, 1570

Least Common Multiple of 1566 and 1570 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 1570, than apply into the LCM equation.

GCF(1566,1570) = 2
LCM(1566,1570) = ( 1566 × 1570) / 2
LCM(1566,1570) = 2458620 / 2
LCM(1566,1570) = 1229310

Properties of LCM 1566 and 1570

(i) The LCM of 1570 and 1566 is associative

LCM of 1566 and 1570 = LCM of 1570 and 1566

Related Least Common Multiples of 1566

Related Least Common Multiples of 1570

Frequently Asked Questions on LCM of 1566 and 1570

1. What is the LCM of 1566 and 1570?

Answer: LCM of 1566 and 1570 is 1229310.

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 1570?

Answer: Factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570. There are 8 integers that are factors of 1570. The greatest factor of 1570 is 1570.

4. How to Find the LCM of 1566 and 1570?

Answer:

Least Common Multiple of 1566 and 1570 = 1229310

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 1570

1570 = 2 x 5 x 157

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

LCM = 1229310 = 2 x 3 x 3 x 3 x 5 x 29 x 157

Step 4: Therefore, the least common multiple of 1566 and 1570 is 1229310.