Least Common Multiple of 4565 and 4571

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 4571 the smallest integer that is 20866615 that is divisible by both numbers.

Least Common Multiple (LCM) of 4565 and 4571 is 20866615.

LCM(4565,4571) = 20866615

LCM of 4565 and 4571

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

LCM of:
and

Least Common Multiple of 4565 and 4571

LCM of 4565 and 4571 is 20866615

Least common multiple can be found by multiplying the highest exponent prime factors of 4565 and 4571. First we will calculate the prime factors of 4565 and 4571.

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 4571


7 4571
653 653
1

Prime factors of 4571 are 7,653. Prime factorization of 4571 in exponential form is:

4571 = 71×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 4565 and 4571.

LCM(4565,4571) = 51×71×111×831×6531
LCM(4565,4571) = 20866615

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 4571

List of positive integer factors of 4571 that divides 4571 without a remainder.

1, 7, 653, 4571

Least Common Multiple of 4565 and 4571 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 4571, than apply into the LCM equation.

GCF(4565,4571) = 1
LCM(4565,4571) = ( 4565 × 4571) / 1
LCM(4565,4571) = 20866615 / 1
LCM(4565,4571) = 20866615

Properties of LCM 4565 and 4571

(i) The LCM of 4571 and 4565 is associative

LCM of 4565 and 4571 = LCM of 4571 and 4565

Related Least Common Multiples of 4565

Related Least Common Multiples of 4571

Frequently Asked Questions on LCM of 4565 and 4571

1. What is the LCM of 4565 and 4571?

Answer: LCM of 4565 and 4571 is 20866615.

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 4571?

Answer: Factors of 4571 are 1, 7, 653, 4571. There are 4 integers that are factors of 4571. The greatest factor of 4571 is 4571.

4. How to Find the LCM of 4565 and 4571?

Answer:

Least Common Multiple of 4565 and 4571 = 20866615

Step 1: Find the prime factorization of 4565

4565 = 5 x 11 x 83

Step 2: Find the prime factorization of 4571

4571 = 7 x 653

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

LCM = 20866615 = 5 x 7 x 11 x 83 x 653

Step 4: Therefore, the least common multiple of 4565 and 4571 is 20866615.