Least Common Multiple of 4584 and 4588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4584 and 4588 the smallest integer that is 5257848 that is divisible by both numbers.

Least Common Multiple (LCM) of 4584 and 4588 is 5257848.

LCM(4584,4588) = 5257848

LCM of 4584 and 4588

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

LCM of:
and

Least Common Multiple of 4584 and 4588

LCM of 4584 and 4588 is 5257848

Least common multiple can be found by multiplying the highest exponent prime factors of 4584 and 4588. First we will calculate the prime factors of 4584 and 4588.

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

Prime Factorization of 4588


2 4588
2 2294
31 1147
37 37
1

Prime factors of 4588 are 2, 31,37. Prime factorization of 4588 in exponential form is:

4588 = 22×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4584 and 4588.

LCM(4584,4588) = 23×31×311×371×1911
LCM(4584,4588) = 5257848

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

Factors of 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588

Least Common Multiple of 4584 and 4588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4584 and 4588, than apply into the LCM equation.

GCF(4584,4588) = 4
LCM(4584,4588) = ( 4584 × 4588) / 4
LCM(4584,4588) = 21031392 / 4
LCM(4584,4588) = 5257848

Properties of LCM 4584 and 4588

(i) The LCM of 4588 and 4584 is associative

LCM of 4584 and 4588 = LCM of 4588 and 4584

Related Least Common Multiples of 4584

Related Least Common Multiples of 4588

Frequently Asked Questions on LCM of 4584 and 4588

1. What is the LCM of 4584 and 4588?

Answer: LCM of 4584 and 4588 is 5257848.

2. 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.

3. What are the Factors of 4588?

Answer: Factors of 4588 are 1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588. There are 12 integers that are factors of 4588. The greatest factor of 4588 is 4588.

4. How to Find the LCM of 4584 and 4588?

Answer:

Least Common Multiple of 4584 and 4588 = 5257848

Step 1: Find the prime factorization of 4584

4584 = 2 x 2 x 2 x 3 x 191

Step 2: Find the prime factorization of 4588

4588 = 2 x 2 x 31 x 37

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

LCM = 5257848 = 2 x 2 x 2 x 3 x 31 x 37 x 191

Step 4: Therefore, the least common multiple of 4584 and 4588 is 5257848.