Least Common Multiple of 591 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 591 and 594 the smallest integer that is 117018 that is divisible by both numbers.

Least Common Multiple (LCM) of 591 and 594 is 117018.

LCM(591,594) = 117018

LCM of 591 and 594

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

LCM of:
and

Least Common Multiple of 591 and 594

LCM of 591 and 594 is 117018

Least common multiple can be found by multiplying the highest exponent prime factors of 591 and 594. First we will calculate the prime factors of 591 and 594.

Prime Factorization of 591


3 591
197 197
1

Prime factors of 591 are 3,197. Prime factorization of 591 in exponential form is:

591 = 31×1971

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 591 and 594.

LCM(591,594) = 21×33×111×1971
LCM(591,594) = 117018

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1, 3, 197, 591

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 591 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 591 and 594, than apply into the LCM equation.

GCF(591,594) = 3
LCM(591,594) = ( 591 × 594) / 3
LCM(591,594) = 351054 / 3
LCM(591,594) = 117018

Properties of LCM 591 and 594

(i) The LCM of 594 and 591 is associative

LCM of 591 and 594 = LCM of 594 and 591

Related Least Common Multiples of 591

Related Least Common Multiples of 594

Frequently Asked Questions on LCM of 591 and 594

1. What is the LCM of 591 and 594?

Answer: LCM of 591 and 594 is 117018.

2. What are the Factors of 591?

Answer: Factors of 591 are 1, 3, 197, 591. There are 4 integers that are factors of 591. The greatest factor of 591 is 591.

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 591 and 594?

Answer:

Least Common Multiple of 591 and 594 = 117018

Step 1: Find the prime factorization of 591

591 = 3 x 197

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 = 117018 = 2 x 3 x 3 x 3 x 11 x 197

Step 4: Therefore, the least common multiple of 591 and 594 is 117018.