Least Common Multiple of 1562 and 1566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1562 and 1566 the smallest integer that is 1223046 that is divisible by both numbers.

Least Common Multiple (LCM) of 1562 and 1566 is 1223046.

LCM(1562,1566) = 1223046

LCM of 1562 and 1566

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

LCM of:
and

Least Common Multiple of 1562 and 1566

LCM of 1562 and 1566 is 1223046

Least common multiple can be found by multiplying the highest exponent prime factors of 1562 and 1566. First we will calculate the prime factors of 1562 and 1566.

Prime Factorization of 1562


2 1562
11 781
71 71
1

Prime factors of 1562 are 2, 11,71. Prime factorization of 1562 in exponential form is:

1562 = 21×111×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1562 and 1566.

LCM(1562,1566) = 21×33×111×291×711
LCM(1562,1566) = 1223046

Factors of 1562

List of positive integer factors of 1562 that divides 1562 without a remainder.

1, 2, 11, 22, 71, 142, 781, 1562

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

Least Common Multiple of 1562 and 1566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1562 and 1566, than apply into the LCM equation.

GCF(1562,1566) = 2
LCM(1562,1566) = ( 1562 × 1566) / 2
LCM(1562,1566) = 2446092 / 2
LCM(1562,1566) = 1223046

Properties of LCM 1562 and 1566

(i) The LCM of 1566 and 1562 is associative

LCM of 1562 and 1566 = LCM of 1566 and 1562

Related Least Common Multiples of 1562

Related Least Common Multiples of 1566

Frequently Asked Questions on LCM of 1562 and 1566

1. What is the LCM of 1562 and 1566?

Answer: LCM of 1562 and 1566 is 1223046.

2. What are the Factors of 1562?

Answer: Factors of 1562 are 1, 2, 11, 22, 71, 142, 781, 1562. There are 8 integers that are factors of 1562. The greatest factor of 1562 is 1562.

3. 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.

4. How to Find the LCM of 1562 and 1566?

Answer:

Least Common Multiple of 1562 and 1566 = 1223046

Step 1: Find the prime factorization of 1562

1562 = 2 x 11 x 71

Step 2: Find the prime factorization of 1566

1566 = 2 x 3 x 3 x 3 x 29

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

LCM = 1223046 = 2 x 3 x 3 x 3 x 11 x 29 x 71

Step 4: Therefore, the least common multiple of 1562 and 1566 is 1223046.