Least Common Multiple of 590 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 590 and 592 the smallest integer that is 174640 that is divisible by both numbers.

Least Common Multiple (LCM) of 590 and 592 is 174640.

LCM(590,592) = 174640

LCM of 590 and 592

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

LCM of:
and

Least Common Multiple of 590 and 592

LCM of 590 and 592 is 174640

Least common multiple can be found by multiplying the highest exponent prime factors of 590 and 592. First we will calculate the prime factors of 590 and 592.

Prime Factorization of 590


2 590
5 295
59 59
1

Prime factors of 590 are 2, 5,59. Prime factorization of 590 in exponential form is:

590 = 21×51×591

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 590 and 592.

LCM(590,592) = 24×51×371×591
LCM(590,592) = 174640

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 590 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 590 and 592, than apply into the LCM equation.

GCF(590,592) = 2
LCM(590,592) = ( 590 × 592) / 2
LCM(590,592) = 349280 / 2
LCM(590,592) = 174640

Properties of LCM 590 and 592

(i) The LCM of 592 and 590 is associative

LCM of 590 and 592 = LCM of 592 and 590

Related Least Common Multiples of 590

Related Least Common Multiples of 592

Frequently Asked Questions on LCM of 590 and 592

1. What is the LCM of 590 and 592?

Answer: LCM of 590 and 592 is 174640.

2. What are the Factors of 590?

Answer: Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590. There are 8 integers that are factors of 590. The greatest factor of 590 is 590.

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 590 and 592?

Answer:

Least Common Multiple of 590 and 592 = 174640

Step 1: Find the prime factorization of 590

590 = 2 x 5 x 59

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 = 174640 = 2 x 2 x 2 x 2 x 5 x 37 x 59

Step 4: Therefore, the least common multiple of 590 and 592 is 174640.