Least Common Multiple of 4564 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 4564 and 4571 the smallest integer that is 2980292 that is divisible by both numbers.

Least Common Multiple (LCM) of 4564 and 4571 is 2980292.

LCM(4564,4571) = 2980292

LCM of 4564 and 4571

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

LCM of:
and

Least Common Multiple of 4564 and 4571

LCM of 4564 and 4571 is 2980292

Least common multiple can be found by multiplying the highest exponent prime factors of 4564 and 4571. First we will calculate the prime factors of 4564 and 4571.

Prime Factorization of 4564


2 4564
2 2282
7 1141
163 163
1

Prime factors of 4564 are 2, 7,163. Prime factorization of 4564 in exponential form is:

4564 = 22×71×1631

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 4564 and 4571.

LCM(4564,4571) = 22×71×1631×6531
LCM(4564,4571) = 2980292

Factors of 4564

List of positive integer factors of 4564 that divides 4564 without a remainder.

1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564

Factors of 4571

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

1, 7, 653, 4571

Least Common Multiple of 4564 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 4564 and 4571, than apply into the LCM equation.

GCF(4564,4571) = 7
LCM(4564,4571) = ( 4564 × 4571) / 7
LCM(4564,4571) = 20862044 / 7
LCM(4564,4571) = 2980292

Properties of LCM 4564 and 4571

(i) The LCM of 4571 and 4564 is associative

LCM of 4564 and 4571 = LCM of 4571 and 4564

Related Least Common Multiples of 4564

Related Least Common Multiples of 4571

Frequently Asked Questions on LCM of 4564 and 4571

1. What is the LCM of 4564 and 4571?

Answer: LCM of 4564 and 4571 is 2980292.

2. What are the Factors of 4564?

Answer: Factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564. There are 12 integers that are factors of 4564. The greatest factor of 4564 is 4564.

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 4564 and 4571?

Answer:

Least Common Multiple of 4564 and 4571 = 2980292

Step 1: Find the prime factorization of 4564

4564 = 2 x 2 x 7 x 163

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 = 2980292 = 2 x 2 x 7 x 163 x 653

Step 4: Therefore, the least common multiple of 4564 and 4571 is 2980292.