Least Common Multiple of 4579 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 4579 and 4584 the smallest integer that is 20990136 that is divisible by both numbers.

Least Common Multiple (LCM) of 4579 and 4584 is 20990136.

LCM(4579,4584) = 20990136

LCM of 4579 and 4584

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

LCM of:
and

Least Common Multiple of 4579 and 4584

LCM of 4579 and 4584 is 20990136

Least common multiple can be found by multiplying the highest exponent prime factors of 4579 and 4584. First we will calculate the prime factors of 4579 and 4584.

Prime Factorization of 4579


19 4579
241 241
1

Prime factors of 4579 are 19,241. Prime factorization of 4579 in exponential form is:

4579 = 191×2411

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 4579 and 4584.

LCM(4579,4584) = 23×31×191×1911×2411
LCM(4579,4584) = 20990136

Factors of 4579

List of positive integer factors of 4579 that divides 4579 without a remainder.

1, 19, 241, 4579

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 4579 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 4579 and 4584, than apply into the LCM equation.

GCF(4579,4584) = 1
LCM(4579,4584) = ( 4579 × 4584) / 1
LCM(4579,4584) = 20990136 / 1
LCM(4579,4584) = 20990136

Properties of LCM 4579 and 4584

(i) The LCM of 4584 and 4579 is associative

LCM of 4579 and 4584 = LCM of 4584 and 4579

Related Least Common Multiples of 4579

Related Least Common Multiples of 4584

Frequently Asked Questions on LCM of 4579 and 4584

1. What is the LCM of 4579 and 4584?

Answer: LCM of 4579 and 4584 is 20990136.

2. What are the Factors of 4579?

Answer: Factors of 4579 are 1, 19, 241, 4579. There are 4 integers that are factors of 4579. The greatest factor of 4579 is 4579.

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 4579 and 4584?

Answer:

Least Common Multiple of 4579 and 4584 = 20990136

Step 1: Find the prime factorization of 4579

4579 = 19 x 241

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 = 20990136 = 2 x 2 x 2 x 3 x 19 x 191 x 241

Step 4: Therefore, the least common multiple of 4579 and 4584 is 20990136.