Least Common Multiple of 3566 and 3567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3566 and 3567 the smallest integer that is 12719922 that is divisible by both numbers.

Least Common Multiple (LCM) of 3566 and 3567 is 12719922.

LCM(3566,3567) = 12719922

LCM of 3566 and 3567

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

LCM of:
and

Least Common Multiple of 3566 and 3567

LCM of 3566 and 3567 is 12719922

Least common multiple can be found by multiplying the highest exponent prime factors of 3566 and 3567. First we will calculate the prime factors of 3566 and 3567.

Prime Factorization of 3566


2 3566
1783 1783
1

Prime factors of 3566 are 2,1783. Prime factorization of 3566 in exponential form is:

3566 = 21×17831

Prime Factorization of 3567


3 3567
29 1189
41 41
1

Prime factors of 3567 are 3, 29,41. Prime factorization of 3567 in exponential form is:

3567 = 31×291×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3566 and 3567.

LCM(3566,3567) = 21×31×291×411×17831
LCM(3566,3567) = 12719922

Factors of 3566

List of positive integer factors of 3566 that divides 3566 without a remainder.

1, 2, 1783, 3566

Factors of 3567

List of positive integer factors of 3567 that divides 3567 without a remainder.

1, 3, 29, 41, 87, 123, 1189, 3567

Least Common Multiple of 3566 and 3567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3566 and 3567, than apply into the LCM equation.

GCF(3566,3567) = 1
LCM(3566,3567) = ( 3566 × 3567) / 1
LCM(3566,3567) = 12719922 / 1
LCM(3566,3567) = 12719922

Properties of LCM 3566 and 3567

(i) The LCM of 3567 and 3566 is associative

LCM of 3566 and 3567 = LCM of 3567 and 3566

Related Least Common Multiples of 3566

Related Least Common Multiples of 3567

Frequently Asked Questions on LCM of 3566 and 3567

1. What is the LCM of 3566 and 3567?

Answer: LCM of 3566 and 3567 is 12719922.

2. What are the Factors of 3566?

Answer: Factors of 3566 are 1, 2, 1783, 3566. There are 4 integers that are factors of 3566. The greatest factor of 3566 is 3566.

3. What are the Factors of 3567?

Answer: Factors of 3567 are 1, 3, 29, 41, 87, 123, 1189, 3567. There are 8 integers that are factors of 3567. The greatest factor of 3567 is 3567.

4. How to Find the LCM of 3566 and 3567?

Answer:

Least Common Multiple of 3566 and 3567 = 12719922

Step 1: Find the prime factorization of 3566

3566 = 2 x 1783

Step 2: Find the prime factorization of 3567

3567 = 3 x 29 x 41

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

LCM = 12719922 = 2 x 3 x 29 x 41 x 1783

Step 4: Therefore, the least common multiple of 3566 and 3567 is 12719922.