Least Common Multiple of 3561 and 3569

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 3569 the smallest integer that is 12709209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3561 and 3569 is 12709209.

LCM(3561,3569) = 12709209

LCM of 3561 and 3569

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

LCM of:
and

Least Common Multiple of 3561 and 3569

LCM of 3561 and 3569 is 12709209

Least common multiple can be found by multiplying the highest exponent prime factors of 3561 and 3569. First we will calculate the prime factors of 3561 and 3569.

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 3569


43 3569
83 83
1

Prime factors of 3569 are 43,83. Prime factorization of 3569 in exponential form is:

3569 = 431×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3561 and 3569.

LCM(3561,3569) = 31×431×831×11871
LCM(3561,3569) = 12709209

Factors of 3561

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

1, 3, 1187, 3561

Factors of 3569

List of positive integer factors of 3569 that divides 3569 without a remainder.

1, 43, 83, 3569

Least Common Multiple of 3561 and 3569 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 3569, than apply into the LCM equation.

GCF(3561,3569) = 1
LCM(3561,3569) = ( 3561 × 3569) / 1
LCM(3561,3569) = 12709209 / 1
LCM(3561,3569) = 12709209

Properties of LCM 3561 and 3569

(i) The LCM of 3569 and 3561 is associative

LCM of 3561 and 3569 = LCM of 3569 and 3561

Related Least Common Multiples of 3561

Related Least Common Multiples of 3569

Frequently Asked Questions on LCM of 3561 and 3569

1. What is the LCM of 3561 and 3569?

Answer: LCM of 3561 and 3569 is 12709209.

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 3569?

Answer: Factors of 3569 are 1, 43, 83, 3569. There are 4 integers that are factors of 3569. The greatest factor of 3569 is 3569.

4. How to Find the LCM of 3561 and 3569?

Answer:

Least Common Multiple of 3561 and 3569 = 12709209

Step 1: Find the prime factorization of 3561

3561 = 3 x 1187

Step 2: Find the prime factorization of 3569

3569 = 43 x 83

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

LCM = 12709209 = 3 x 43 x 83 x 1187

Step 4: Therefore, the least common multiple of 3561 and 3569 is 12709209.