Least Common Multiple of 588 and 594

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 594 the smallest integer that is 58212 that is divisible by both numbers.

Least Common Multiple (LCM) of 588 and 594 is 58212.

LCM(588,594) = 58212

LCM of 588 and 594

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

LCM of:
and

Least Common Multiple of 588 and 594

LCM of 588 and 594 is 58212

Least common multiple can be found by multiplying the highest exponent prime factors of 588 and 594. First we will calculate the prime factors of 588 and 594.

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 594


2 594
3 297
3 99
3 33
11 11
1

Prime factors of 594 are 2, 3,11. Prime factorization of 594 in exponential form is:

594 = 21×33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 588 and 594.

LCM(588,594) = 22×33×72×111
LCM(588,594) = 58212

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 594

List of positive integer factors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Least Common Multiple of 588 and 594 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 594, than apply into the LCM equation.

GCF(588,594) = 6
LCM(588,594) = ( 588 × 594) / 6
LCM(588,594) = 349272 / 6
LCM(588,594) = 58212

Properties of LCM 588 and 594

(i) The LCM of 594 and 588 is associative

LCM of 588 and 594 = LCM of 594 and 588

Related Least Common Multiples of 588

Related Least Common Multiples of 594

Frequently Asked Questions on LCM of 588 and 594

1. What is the LCM of 588 and 594?

Answer: LCM of 588 and 594 is 58212.

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 594?

Answer: Factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594. There are 16 integers that are factors of 594. The greatest factor of 594 is 594.

4. How to Find the LCM of 588 and 594?

Answer:

Least Common Multiple of 588 and 594 = 58212

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 594

594 = 2 x 3 x 3 x 3 x 11

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

LCM = 58212 = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 588 and 594 is 58212.