Least Common Multiple of 4565 and 4569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4565 and 4569 the smallest integer that is 20857485 that is divisible by both numbers.

Least Common Multiple (LCM) of 4565 and 4569 is 20857485.

LCM(4565,4569) = 20857485

LCM of 4565 and 4569

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

LCM of:
and

Least Common Multiple of 4565 and 4569

LCM of 4565 and 4569 is 20857485

Least common multiple can be found by multiplying the highest exponent prime factors of 4565 and 4569. First we will calculate the prime factors of 4565 and 4569.

Prime Factorization of 4565


5 4565
11 913
83 83
1

Prime factors of 4565 are 5, 11,83. Prime factorization of 4565 in exponential form is:

4565 = 51×111×831

Prime Factorization of 4569


3 4569
1523 1523
1

Prime factors of 4569 are 3,1523. Prime factorization of 4569 in exponential form is:

4569 = 31×15231

Now multiplying the highest exponent prime factors to calculate the LCM of 4565 and 4569.

LCM(4565,4569) = 31×51×111×831×15231
LCM(4565,4569) = 20857485

Factors of 4565

List of positive integer factors of 4565 that divides 4565 without a remainder.

1, 5, 11, 55, 83, 415, 913, 4565

Factors of 4569

List of positive integer factors of 4569 that divides 4569 without a remainder.

1, 3, 1523, 4569

Least Common Multiple of 4565 and 4569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4565 and 4569, than apply into the LCM equation.

GCF(4565,4569) = 1
LCM(4565,4569) = ( 4565 × 4569) / 1
LCM(4565,4569) = 20857485 / 1
LCM(4565,4569) = 20857485

Properties of LCM 4565 and 4569

(i) The LCM of 4569 and 4565 is associative

LCM of 4565 and 4569 = LCM of 4569 and 4565

Related Least Common Multiples of 4565

Related Least Common Multiples of 4569

Frequently Asked Questions on LCM of 4565 and 4569

1. What is the LCM of 4565 and 4569?

Answer: LCM of 4565 and 4569 is 20857485.

2. What are the Factors of 4565?

Answer: Factors of 4565 are 1, 5, 11, 55, 83, 415, 913, 4565. There are 8 integers that are factors of 4565. The greatest factor of 4565 is 4565.

3. What are the Factors of 4569?

Answer: Factors of 4569 are 1, 3, 1523, 4569. There are 4 integers that are factors of 4569. The greatest factor of 4569 is 4569.

4. How to Find the LCM of 4565 and 4569?

Answer:

Least Common Multiple of 4565 and 4569 = 20857485

Step 1: Find the prime factorization of 4565

4565 = 5 x 11 x 83

Step 2: Find the prime factorization of 4569

4569 = 3 x 1523

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

LCM = 20857485 = 3 x 5 x 11 x 83 x 1523

Step 4: Therefore, the least common multiple of 4565 and 4569 is 20857485.