Least Common Multiple of 3561 and 3568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3561 and 3568 the smallest integer that is 12705648 that is divisible by both numbers.

Least Common Multiple (LCM) of 3561 and 3568 is 12705648.

LCM(3561,3568) = 12705648

LCM of 3561 and 3568

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

LCM of:
and

Least Common Multiple of 3561 and 3568

LCM of 3561 and 3568 is 12705648

Least common multiple can be found by multiplying the highest exponent prime factors of 3561 and 3568. First we will calculate the prime factors of 3561 and 3568.

Prime Factorization of 3561


3 3561
1187 1187
1

Prime factors of 3561 are 3,1187. Prime factorization of 3561 in exponential form is:

3561 = 31×11871

Prime Factorization of 3568


2 3568
2 1784
2 892
2 446
223 223
1

Prime factors of 3568 are 2,223. Prime factorization of 3568 in exponential form is:

3568 = 24×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 3561 and 3568.

LCM(3561,3568) = 24×31×2231×11871
LCM(3561,3568) = 12705648

Factors of 3561

List of positive integer factors of 3561 that divides 3561 without a remainder.

1, 3, 1187, 3561

Factors of 3568

List of positive integer factors of 3568 that divides 3568 without a remainder.

1, 2, 4, 8, 16, 223, 446, 892, 1784, 3568

Least Common Multiple of 3561 and 3568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3561 and 3568, than apply into the LCM equation.

GCF(3561,3568) = 1
LCM(3561,3568) = ( 3561 × 3568) / 1
LCM(3561,3568) = 12705648 / 1
LCM(3561,3568) = 12705648

Properties of LCM 3561 and 3568

(i) The LCM of 3568 and 3561 is associative

LCM of 3561 and 3568 = LCM of 3568 and 3561

Related Least Common Multiples of 3561

Related Least Common Multiples of 3568

Frequently Asked Questions on LCM of 3561 and 3568

1. What is the LCM of 3561 and 3568?

Answer: LCM of 3561 and 3568 is 12705648.

2. What are the Factors of 3561?

Answer: Factors of 3561 are 1, 3, 1187, 3561. There are 4 integers that are factors of 3561. The greatest factor of 3561 is 3561.

3. What are the Factors of 3568?

Answer: Factors of 3568 are 1, 2, 4, 8, 16, 223, 446, 892, 1784, 3568. There are 10 integers that are factors of 3568. The greatest factor of 3568 is 3568.

4. How to Find the LCM of 3561 and 3568?

Answer:

Least Common Multiple of 3561 and 3568 = 12705648

Step 1: Find the prime factorization of 3561

3561 = 3 x 1187

Step 2: Find the prime factorization of 3568

3568 = 2 x 2 x 2 x 2 x 223

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

LCM = 12705648 = 2 x 2 x 2 x 2 x 3 x 223 x 1187

Step 4: Therefore, the least common multiple of 3561 and 3568 is 12705648.