Least Common Multiple of 594 and 597

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 597 the smallest integer that is 118206 that is divisible by both numbers.

Least Common Multiple (LCM) of 594 and 597 is 118206.

LCM(594,597) = 118206

LCM of 594 and 597

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

LCM of:
and

Least Common Multiple of 594 and 597

LCM of 594 and 597 is 118206

Least common multiple can be found by multiplying the highest exponent prime factors of 594 and 597. First we will calculate the prime factors of 594 and 597.

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 597


3 597
199 199
1

Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:

597 = 31×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 594 and 597.

LCM(594,597) = 21×33×111×1991
LCM(594,597) = 118206

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 597

List of positive integer factors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Least Common Multiple of 594 and 597 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 597, than apply into the LCM equation.

GCF(594,597) = 3
LCM(594,597) = ( 594 × 597) / 3
LCM(594,597) = 354618 / 3
LCM(594,597) = 118206

Properties of LCM 594 and 597

(i) The LCM of 597 and 594 is associative

LCM of 594 and 597 = LCM of 597 and 594

Related Least Common Multiples of 594

Related Least Common Multiples of 597

Frequently Asked Questions on LCM of 594 and 597

1. What is the LCM of 594 and 597?

Answer: LCM of 594 and 597 is 118206.

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 597?

Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.

4. How to Find the LCM of 594 and 597?

Answer:

Least Common Multiple of 594 and 597 = 118206

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 597

597 = 3 x 199

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

LCM = 118206 = 2 x 3 x 3 x 3 x 11 x 199

Step 4: Therefore, the least common multiple of 594 and 597 is 118206.