Least Common Multiple of 594 and 598

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 598 the smallest integer that is 177606 that is divisible by both numbers.

Least Common Multiple (LCM) of 594 and 598 is 177606.

LCM(594,598) = 177606

LCM of 594 and 598

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

LCM of:
and

Least Common Multiple of 594 and 598

LCM of 594 and 598 is 177606

Least common multiple can be found by multiplying the highest exponent prime factors of 594 and 598. First we will calculate the prime factors of 594 and 598.

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 598


2 598
13 299
23 23
1

Prime factors of 598 are 2, 13,23. Prime factorization of 598 in exponential form is:

598 = 21×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 594 and 598.

LCM(594,598) = 21×33×111×131×231
LCM(594,598) = 177606

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 598

List of positive integer factors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Least Common Multiple of 594 and 598 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 598, than apply into the LCM equation.

GCF(594,598) = 2
LCM(594,598) = ( 594 × 598) / 2
LCM(594,598) = 355212 / 2
LCM(594,598) = 177606

Properties of LCM 594 and 598

(i) The LCM of 598 and 594 is associative

LCM of 594 and 598 = LCM of 598 and 594

Related Least Common Multiples of 594

Related Least Common Multiples of 598

Frequently Asked Questions on LCM of 594 and 598

1. What is the LCM of 594 and 598?

Answer: LCM of 594 and 598 is 177606.

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 598?

Answer: Factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598. There are 8 integers that are factors of 598. The greatest factor of 598 is 598.

4. How to Find the LCM of 594 and 598?

Answer:

Least Common Multiple of 594 and 598 = 177606

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 598

598 = 2 x 13 x 23

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

LCM = 177606 = 2 x 3 x 3 x 3 x 11 x 13 x 23

Step 4: Therefore, the least common multiple of 594 and 598 is 177606.