Least Common Multiple of 592 and 595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 592 and 595 the smallest integer that is 352240 that is divisible by both numbers.

Least Common Multiple (LCM) of 592 and 595 is 352240.

LCM(592,595) = 352240

LCM of 592 and 595

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

LCM of:
and

Least Common Multiple of 592 and 595

LCM of 592 and 595 is 352240

Least common multiple can be found by multiplying the highest exponent prime factors of 592 and 595. First we will calculate the prime factors of 592 and 595.

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

Prime Factorization of 595


5 595
7 119
17 17
1

Prime factors of 595 are 5, 7,17. Prime factorization of 595 in exponential form is:

595 = 51×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 592 and 595.

LCM(592,595) = 24×51×71×171×371
LCM(592,595) = 352240

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

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Least Common Multiple of 592 and 595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 592 and 595, than apply into the LCM equation.

GCF(592,595) = 1
LCM(592,595) = ( 592 × 595) / 1
LCM(592,595) = 352240 / 1
LCM(592,595) = 352240

Properties of LCM 592 and 595

(i) The LCM of 595 and 592 is associative

LCM of 592 and 595 = LCM of 595 and 592

Related Least Common Multiples of 592

Related Least Common Multiples of 595

Frequently Asked Questions on LCM of 592 and 595

1. What is the LCM of 592 and 595?

Answer: LCM of 592 and 595 is 352240.

2. 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.

3. What are the Factors of 595?

Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.

4. How to Find the LCM of 592 and 595?

Answer:

Least Common Multiple of 592 and 595 = 352240

Step 1: Find the prime factorization of 592

592 = 2 x 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 595

595 = 5 x 7 x 17

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

LCM = 352240 = 2 x 2 x 2 x 2 x 5 x 7 x 17 x 37

Step 4: Therefore, the least common multiple of 592 and 595 is 352240.