Least Common Multiple of 4576 and 4581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4576 and 4581 the smallest integer that is 20962656 that is divisible by both numbers.

Least Common Multiple (LCM) of 4576 and 4581 is 20962656.

LCM(4576,4581) = 20962656

LCM of 4576 and 4581

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

LCM of:
and

Least Common Multiple of 4576 and 4581

LCM of 4576 and 4581 is 20962656

Least common multiple can be found by multiplying the highest exponent prime factors of 4576 and 4581. First we will calculate the prime factors of 4576 and 4581.

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

Prime Factorization of 4581


3 4581
3 1527
509 509
1

Prime factors of 4581 are 3,509. Prime factorization of 4581 in exponential form is:

4581 = 32×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 4576 and 4581.

LCM(4576,4581) = 25×32×111×131×5091
LCM(4576,4581) = 20962656

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

Factors of 4581

List of positive integer factors of 4581 that divides 4581 without a remainder.

1, 3, 9, 509, 1527, 4581

Least Common Multiple of 4576 and 4581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4576 and 4581, than apply into the LCM equation.

GCF(4576,4581) = 1
LCM(4576,4581) = ( 4576 × 4581) / 1
LCM(4576,4581) = 20962656 / 1
LCM(4576,4581) = 20962656

Properties of LCM 4576 and 4581

(i) The LCM of 4581 and 4576 is associative

LCM of 4576 and 4581 = LCM of 4581 and 4576

Related Least Common Multiples of 4576

Related Least Common Multiples of 4581

Frequently Asked Questions on LCM of 4576 and 4581

1. What is the LCM of 4576 and 4581?

Answer: LCM of 4576 and 4581 is 20962656.

2. 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.

3. What are the Factors of 4581?

Answer: Factors of 4581 are 1, 3, 9, 509, 1527, 4581. There are 6 integers that are factors of 4581. The greatest factor of 4581 is 4581.

4. How to Find the LCM of 4576 and 4581?

Answer:

Least Common Multiple of 4576 and 4581 = 20962656

Step 1: Find the prime factorization of 4576

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

Step 2: Find the prime factorization of 4581

4581 = 3 x 3 x 509

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

LCM = 20962656 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 13 x 509

Step 4: Therefore, the least common multiple of 4576 and 4581 is 20962656.