Least Common Multiple of 4576 and 4584

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 4584 the smallest integer that is 2622048 that is divisible by both numbers.

Least Common Multiple (LCM) of 4576 and 4584 is 2622048.

LCM(4576,4584) = 2622048

LCM of 4576 and 4584

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

LCM of:
and

Least Common Multiple of 4576 and 4584

LCM of 4576 and 4584 is 2622048

Least common multiple can be found by multiplying the highest exponent prime factors of 4576 and 4584. First we will calculate the prime factors of 4576 and 4584.

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 4584


2 4584
2 2292
2 1146
3 573
191 191
1

Prime factors of 4584 are 2, 3,191. Prime factorization of 4584 in exponential form is:

4584 = 23×31×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4576 and 4584.

LCM(4576,4584) = 25×31×111×131×1911
LCM(4576,4584) = 2622048

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 4584

List of positive integer factors of 4584 that divides 4584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584

Least Common Multiple of 4576 and 4584 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 4584, than apply into the LCM equation.

GCF(4576,4584) = 8
LCM(4576,4584) = ( 4576 × 4584) / 8
LCM(4576,4584) = 20976384 / 8
LCM(4576,4584) = 2622048

Properties of LCM 4576 and 4584

(i) The LCM of 4584 and 4576 is associative

LCM of 4576 and 4584 = LCM of 4584 and 4576

Related Least Common Multiples of 4576

Related Least Common Multiples of 4584

Frequently Asked Questions on LCM of 4576 and 4584

1. What is the LCM of 4576 and 4584?

Answer: LCM of 4576 and 4584 is 2622048.

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 4584?

Answer: Factors of 4584 are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584. There are 16 integers that are factors of 4584. The greatest factor of 4584 is 4584.

4. How to Find the LCM of 4576 and 4584?

Answer:

Least Common Multiple of 4576 and 4584 = 2622048

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 4584

4584 = 2 x 2 x 2 x 3 x 191

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

LCM = 2622048 = 2 x 2 x 2 x 2 x 2 x 3 x 11 x 13 x 191

Step 4: Therefore, the least common multiple of 4576 and 4584 is 2622048.