Least Common Multiple of 590 and 596

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 596 the smallest integer that is 175820 that is divisible by both numbers.

Least Common Multiple (LCM) of 590 and 596 is 175820.

LCM(590,596) = 175820

LCM of 590 and 596

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

LCM of:
and

Least Common Multiple of 590 and 596

LCM of 590 and 596 is 175820

Least common multiple can be found by multiplying the highest exponent prime factors of 590 and 596. First we will calculate the prime factors of 590 and 596.

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 596


2 596
2 298
149 149
1

Prime factors of 596 are 2,149. Prime factorization of 596 in exponential form is:

596 = 22×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 590 and 596.

LCM(590,596) = 22×51×591×1491
LCM(590,596) = 175820

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 596

List of positive integer factors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Least Common Multiple of 590 and 596 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 596, than apply into the LCM equation.

GCF(590,596) = 2
LCM(590,596) = ( 590 × 596) / 2
LCM(590,596) = 351640 / 2
LCM(590,596) = 175820

Properties of LCM 590 and 596

(i) The LCM of 596 and 590 is associative

LCM of 590 and 596 = LCM of 596 and 590

Related Least Common Multiples of 590

Related Least Common Multiples of 596

Frequently Asked Questions on LCM of 590 and 596

1. What is the LCM of 590 and 596?

Answer: LCM of 590 and 596 is 175820.

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 596?

Answer: Factors of 596 are 1, 2, 4, 149, 298, 596. There are 6 integers that are factors of 596. The greatest factor of 596 is 596.

4. How to Find the LCM of 590 and 596?

Answer:

Least Common Multiple of 590 and 596 = 175820

Step 1: Find the prime factorization of 590

590 = 2 x 5 x 59

Step 2: Find the prime factorization of 596

596 = 2 x 2 x 149

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

LCM = 175820 = 2 x 2 x 5 x 59 x 149

Step 4: Therefore, the least common multiple of 590 and 596 is 175820.