Least Common Multiple of 3569 and 3574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3569 and 3574 the smallest integer that is 12755606 that is divisible by both numbers.

Least Common Multiple (LCM) of 3569 and 3574 is 12755606.

LCM(3569,3574) = 12755606

LCM of 3569 and 3574

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

LCM of:
and

Least Common Multiple of 3569 and 3574

LCM of 3569 and 3574 is 12755606

Least common multiple can be found by multiplying the highest exponent prime factors of 3569 and 3574. First we will calculate the prime factors of 3569 and 3574.

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

Prime Factorization of 3574


2 3574
1787 1787
1

Prime factors of 3574 are 2,1787. Prime factorization of 3574 in exponential form is:

3574 = 21×17871

Now multiplying the highest exponent prime factors to calculate the LCM of 3569 and 3574.

LCM(3569,3574) = 21×431×831×17871
LCM(3569,3574) = 12755606

Factors of 3569

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

1, 43, 83, 3569

Factors of 3574

List of positive integer factors of 3574 that divides 3574 without a remainder.

1, 2, 1787, 3574

Least Common Multiple of 3569 and 3574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3569 and 3574, than apply into the LCM equation.

GCF(3569,3574) = 1
LCM(3569,3574) = ( 3569 × 3574) / 1
LCM(3569,3574) = 12755606 / 1
LCM(3569,3574) = 12755606

Properties of LCM 3569 and 3574

(i) The LCM of 3574 and 3569 is associative

LCM of 3569 and 3574 = LCM of 3574 and 3569

Related Least Common Multiples of 3569

Related Least Common Multiples of 3574

Frequently Asked Questions on LCM of 3569 and 3574

1. What is the LCM of 3569 and 3574?

Answer: LCM of 3569 and 3574 is 12755606.

2. 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.

3. What are the Factors of 3574?

Answer: Factors of 3574 are 1, 2, 1787, 3574. There are 4 integers that are factors of 3574. The greatest factor of 3574 is 3574.

4. How to Find the LCM of 3569 and 3574?

Answer:

Least Common Multiple of 3569 and 3574 = 12755606

Step 1: Find the prime factorization of 3569

3569 = 43 x 83

Step 2: Find the prime factorization of 3574

3574 = 2 x 1787

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

LCM = 12755606 = 2 x 43 x 83 x 1787

Step 4: Therefore, the least common multiple of 3569 and 3574 is 12755606.