Least Common Multiple of 4582 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 4582 and 4588 the smallest integer that is 10511108 that is divisible by both numbers.

Least Common Multiple (LCM) of 4582 and 4588 is 10511108.

LCM(4582,4588) = 10511108

LCM of 4582 and 4588

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

LCM of:
and

Least Common Multiple of 4582 and 4588

LCM of 4582 and 4588 is 10511108

Least common multiple can be found by multiplying the highest exponent prime factors of 4582 and 4588. First we will calculate the prime factors of 4582 and 4588.

Prime Factorization of 4582


2 4582
29 2291
79 79
1

Prime factors of 4582 are 2, 29,79. Prime factorization of 4582 in exponential form is:

4582 = 21×291×791

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 4582 and 4588.

LCM(4582,4588) = 22×291×311×371×791
LCM(4582,4588) = 10511108

Factors of 4582

List of positive integer factors of 4582 that divides 4582 without a remainder.

1, 2, 29, 58, 79, 158, 2291, 4582

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 4582 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 4582 and 4588, than apply into the LCM equation.

GCF(4582,4588) = 2
LCM(4582,4588) = ( 4582 × 4588) / 2
LCM(4582,4588) = 21022216 / 2
LCM(4582,4588) = 10511108

Properties of LCM 4582 and 4588

(i) The LCM of 4588 and 4582 is associative

LCM of 4582 and 4588 = LCM of 4588 and 4582

Related Least Common Multiples of 4582

Related Least Common Multiples of 4588

Frequently Asked Questions on LCM of 4582 and 4588

1. What is the LCM of 4582 and 4588?

Answer: LCM of 4582 and 4588 is 10511108.

2. What are the Factors of 4582?

Answer: Factors of 4582 are 1, 2, 29, 58, 79, 158, 2291, 4582. There are 8 integers that are factors of 4582. The greatest factor of 4582 is 4582.

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 4582 and 4588?

Answer:

Least Common Multiple of 4582 and 4588 = 10511108

Step 1: Find the prime factorization of 4582

4582 = 2 x 29 x 79

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 = 10511108 = 2 x 2 x 29 x 31 x 37 x 79

Step 4: Therefore, the least common multiple of 4582 and 4588 is 10511108.