Least Common Multiple of 588 and 596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 588 and 596 the smallest integer that is 87612 that is divisible by both numbers.

Least Common Multiple (LCM) of 588 and 596 is 87612.

LCM(588,596) = 87612

LCM of 588 and 596

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

LCM of:
and

Least Common Multiple of 588 and 596

LCM of 588 and 596 is 87612

Least common multiple can be found by multiplying the highest exponent prime factors of 588 and 596. First we will calculate the prime factors of 588 and 596.

Prime Factorization of 588


2 588
2 294
3 147
7 49
7 7
1

Prime factors of 588 are 2, 3,7. Prime factorization of 588 in exponential form is:

588 = 22×31×72

Prime Factorization of 596


2 596
2 298
149 149
1

Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:

596 = 22×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 588 and 596.

LCM(588,596) = 22×31×72×1491
LCM(588,596) = 87612

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Least Common Multiple of 588 and 596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 588 and 596, than apply into the LCM equation.

GCF(588,596) = 4
LCM(588,596) = ( 588 × 596) / 4
LCM(588,596) = 350448 / 4
LCM(588,596) = 87612

Properties of LCM 588 and 596

(i) The LCM of 596 and 588 is associative

LCM of 588 and 596 = LCM of 596 and 588

Frequently Asked Questions on LCM of 588 and 596

1. What is the LCM of 588 and 596?

Answer: LCM of 588 and 596 is 87612.

2. What are the Factors of 588?

Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.

3. What are the Factors of 596?

Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.

4. How to Find the LCM of 588 and 596?

Answer:

Least Common Multiple of 588 and 596 = 87612

Step 1: Find the prime factorization of 588

588 = 2 x 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 596

596 = 2 x 2 x 149

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

LCM = 87612 = 2 x 2 x 3 x 7 x 7 x 149

Step 4: Therefore, the least common multiple of 588 and 596 is 87612.