Least Common Multiple of 4564 and 4568

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 4568 the smallest integer that is 5212088 that is divisible by both numbers.

Least Common Multiple (LCM) of 4564 and 4568 is 5212088.

LCM(4564,4568) = 5212088

LCM of 4564 and 4568

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

LCM of:
and

Least Common Multiple of 4564 and 4568

LCM of 4564 and 4568 is 5212088

Least common multiple can be found by multiplying the highest exponent prime factors of 4564 and 4568. First we will calculate the prime factors of 4564 and 4568.

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 4568


2 4568
2 2284
2 1142
571 571
1

Prime factors of 4568 are 2,571. Prime factorization of 4568 in exponential form is:

4568 = 23×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 4564 and 4568.

LCM(4564,4568) = 23×71×1631×5711
LCM(4564,4568) = 5212088

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 4568

List of positive integer factors of 4568 that divides 4568 without a remainder.

1, 2, 4, 8, 571, 1142, 2284, 4568

Least Common Multiple of 4564 and 4568 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 4568, than apply into the LCM equation.

GCF(4564,4568) = 4
LCM(4564,4568) = ( 4564 × 4568) / 4
LCM(4564,4568) = 20848352 / 4
LCM(4564,4568) = 5212088

Properties of LCM 4564 and 4568

(i) The LCM of 4568 and 4564 is associative

LCM of 4564 and 4568 = LCM of 4568 and 4564

Related Least Common Multiples of 4564

Related Least Common Multiples of 4568

Frequently Asked Questions on LCM of 4564 and 4568

1. What is the LCM of 4564 and 4568?

Answer: LCM of 4564 and 4568 is 5212088.

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 4568?

Answer: Factors of 4568 are 1, 2, 4, 8, 571, 1142, 2284, 4568. There are 8 integers that are factors of 4568. The greatest factor of 4568 is 4568.

4. How to Find the LCM of 4564 and 4568?

Answer:

Least Common Multiple of 4564 and 4568 = 5212088

Step 1: Find the prime factorization of 4564

4564 = 2 x 2 x 7 x 163

Step 2: Find the prime factorization of 4568

4568 = 2 x 2 x 2 x 571

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

LCM = 5212088 = 2 x 2 x 2 x 7 x 163 x 571

Step 4: Therefore, the least common multiple of 4564 and 4568 is 5212088.