Least Common Multiple of 591 and 592

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 592 the smallest integer that is 349872 that is divisible by both numbers.

Least Common Multiple (LCM) of 591 and 592 is 349872.

LCM(591,592) = 349872

LCM of 591 and 592

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

LCM of:
and

Least Common Multiple of 591 and 592

LCM of 591 and 592 is 349872

Least common multiple can be found by multiplying the highest exponent prime factors of 591 and 592. First we will calculate the prime factors of 591 and 592.

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 592


2 592
2 296
2 148
2 74
37 37
1

Prime factors of 592 are 2,37. Prime factorization of 592 in exponential form is:

592 = 24×371

Now multiplying the highest exponent prime factors to calculate the LCM of 591 and 592.

LCM(591,592) = 24×31×371×1971
LCM(591,592) = 349872

Factors of 591

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

1, 3, 197, 591

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Least Common Multiple of 591 and 592 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 592, than apply into the LCM equation.

GCF(591,592) = 1
LCM(591,592) = ( 591 × 592) / 1
LCM(591,592) = 349872 / 1
LCM(591,592) = 349872

Properties of LCM 591 and 592

(i) The LCM of 592 and 591 is associative

LCM of 591 and 592 = LCM of 592 and 591

Related Least Common Multiples of 591

Related Least Common Multiples of 592

Frequently Asked Questions on LCM of 591 and 592

1. What is the LCM of 591 and 592?

Answer: LCM of 591 and 592 is 349872.

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 592?

Answer: Factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592. There are 10 integers that are factors of 592. The greatest factor of 592 is 592.

4. How to Find the LCM of 591 and 592?

Answer:

Least Common Multiple of 591 and 592 = 349872

Step 1: Find the prime factorization of 591

591 = 3 x 197

Step 2: Find the prime factorization of 592

592 = 2 x 2 x 2 x 2 x 37

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

LCM = 349872 = 2 x 2 x 2 x 2 x 3 x 37 x 197

Step 4: Therefore, the least common multiple of 591 and 592 is 349872.