Least Common Multiple of 4568 and 4576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4568 and 4576 the smallest integer that is 2612896 that is divisible by both numbers.

Least Common Multiple (LCM) of 4568 and 4576 is 2612896.

LCM(4568,4576) = 2612896

LCM of 4568 and 4576

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

LCM of:
and

Least Common Multiple of 4568 and 4576

LCM of 4568 and 4576 is 2612896

Least common multiple can be found by multiplying the highest exponent prime factors of 4568 and 4576. First we will calculate the prime factors of 4568 and 4576.

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

Prime Factorization of 4576


2 4576
2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 4576 are 2, 11,13. Prime factorization of 4576 in exponential form is:

4576 = 25×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4568 and 4576.

LCM(4568,4576) = 25×111×131×5711
LCM(4568,4576) = 2612896

Factors of 4568

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

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

Factors of 4576

List of positive integer factors of 4576 that divides 4576 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576

Least Common Multiple of 4568 and 4576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4568 and 4576, than apply into the LCM equation.

GCF(4568,4576) = 8
LCM(4568,4576) = ( 4568 × 4576) / 8
LCM(4568,4576) = 20903168 / 8
LCM(4568,4576) = 2612896

Properties of LCM 4568 and 4576

(i) The LCM of 4576 and 4568 is associative

LCM of 4568 and 4576 = LCM of 4576 and 4568

Related Least Common Multiples of 4568

Related Least Common Multiples of 4576

Frequently Asked Questions on LCM of 4568 and 4576

1. What is the LCM of 4568 and 4576?

Answer: LCM of 4568 and 4576 is 2612896.

2. 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.

3. What are the Factors of 4576?

Answer: Factors of 4576 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576. There are 24 integers that are factors of 4576. The greatest factor of 4576 is 4576.

4. How to Find the LCM of 4568 and 4576?

Answer:

Least Common Multiple of 4568 and 4576 = 2612896

Step 1: Find the prime factorization of 4568

4568 = 2 x 2 x 2 x 571

Step 2: Find the prime factorization of 4576

4576 = 2 x 2 x 2 x 2 x 2 x 11 x 13

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

LCM = 2612896 = 2 x 2 x 2 x 2 x 2 x 11 x 13 x 571

Step 4: Therefore, the least common multiple of 4568 and 4576 is 2612896.