Least Common Multiple of 4588 and 4596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4588 and 4596 the smallest integer that is 5271612 that is divisible by both numbers.

Least Common Multiple (LCM) of 4588 and 4596 is 5271612.

LCM(4588,4596) = 5271612

LCM of 4588 and 4596

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

LCM of:
and

Least Common Multiple of 4588 and 4596

LCM of 4588 and 4596 is 5271612

Least common multiple can be found by multiplying the highest exponent prime factors of 4588 and 4596. First we will calculate the prime factors of 4588 and 4596.

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

Prime Factorization of 4596


2 4596
2 2298
3 1149
383 383
1

Prime factors of 4596 are 2, 3,383. Prime factorization of 4596 in exponential form is:

4596 = 22×31×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 4588 and 4596.

LCM(4588,4596) = 22×31×311×371×3831
LCM(4588,4596) = 5271612

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

Factors of 4596

List of positive integer factors of 4596 that divides 4596 without a remainder.

1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298, 4596

Least Common Multiple of 4588 and 4596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4588 and 4596, than apply into the LCM equation.

GCF(4588,4596) = 4
LCM(4588,4596) = ( 4588 × 4596) / 4
LCM(4588,4596) = 21086448 / 4
LCM(4588,4596) = 5271612

Properties of LCM 4588 and 4596

(i) The LCM of 4596 and 4588 is associative

LCM of 4588 and 4596 = LCM of 4596 and 4588

Related Least Common Multiples of 4588

Related Least Common Multiples of 4596

Frequently Asked Questions on LCM of 4588 and 4596

1. What is the LCM of 4588 and 4596?

Answer: LCM of 4588 and 4596 is 5271612.

2. 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.

3. What are the Factors of 4596?

Answer: Factors of 4596 are 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298, 4596. There are 12 integers that are factors of 4596. The greatest factor of 4596 is 4596.

4. How to Find the LCM of 4588 and 4596?

Answer:

Least Common Multiple of 4588 and 4596 = 5271612

Step 1: Find the prime factorization of 4588

4588 = 2 x 2 x 31 x 37

Step 2: Find the prime factorization of 4596

4596 = 2 x 2 x 3 x 383

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

LCM = 5271612 = 2 x 2 x 3 x 31 x 37 x 383

Step 4: Therefore, the least common multiple of 4588 and 4596 is 5271612.