Least Common Multiple of 594 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 594 and 596 the smallest integer that is 177012 that is divisible by both numbers.

Least Common Multiple (LCM) of 594 and 596 is 177012.

LCM(594,596) = 177012

LCM of 594 and 596

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

LCM of:
and

Least Common Multiple of 594 and 596

LCM of 594 and 596 is 177012

Least common multiple can be found by multiplying the highest exponent prime factors of 594 and 596. First we will calculate the prime factors of 594 and 596.

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

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 594 and 596.

LCM(594,596) = 22×33×111×1491
LCM(594,596) = 177012

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

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 594 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 594 and 596, than apply into the LCM equation.

GCF(594,596) = 2
LCM(594,596) = ( 594 × 596) / 2
LCM(594,596) = 354024 / 2
LCM(594,596) = 177012

Properties of LCM 594 and 596

(i) The LCM of 596 and 594 is associative

LCM of 594 and 596 = LCM of 596 and 594

Related Least Common Multiples of 594

Related Least Common Multiples of 596

Frequently Asked Questions on LCM of 594 and 596

1. What is the LCM of 594 and 596?

Answer: LCM of 594 and 596 is 177012.

2. 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.

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 594 and 596?

Answer:

Least Common Multiple of 594 and 596 = 177012

Step 1: Find the prime factorization of 594

594 = 2 x 3 x 3 x 3 x 11

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 = 177012 = 2 x 2 x 3 x 3 x 3 x 11 x 149

Step 4: Therefore, the least common multiple of 594 and 596 is 177012.