Least Common Multiple of 590 and 598

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 598 the smallest integer that is 176410 that is divisible by both numbers.

Least Common Multiple (LCM) of 590 and 598 is 176410.

LCM(590,598) = 176410

LCM of 590 and 598

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

LCM of:
and

Least Common Multiple of 590 and 598

LCM of 590 and 598 is 176410

Least common multiple can be found by multiplying the highest exponent prime factors of 590 and 598. First we will calculate the prime factors of 590 and 598.

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 598


2 598
13 299
23 23
1

Prime factors of 598 are 2, 13,23. Prime factorization of 598 in exponential form is:

598 = 21×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 590 and 598.

LCM(590,598) = 21×51×131×231×591
LCM(590,598) = 176410

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 598

List of positive integer factors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Least Common Multiple of 590 and 598 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 598, than apply into the LCM equation.

GCF(590,598) = 2
LCM(590,598) = ( 590 × 598) / 2
LCM(590,598) = 352820 / 2
LCM(590,598) = 176410

Properties of LCM 590 and 598

(i) The LCM of 598 and 590 is associative

LCM of 590 and 598 = LCM of 598 and 590

Related Least Common Multiples of 590

Related Least Common Multiples of 598

Frequently Asked Questions on LCM of 590 and 598

1. What is the LCM of 590 and 598?

Answer: LCM of 590 and 598 is 176410.

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 598?

Answer: Factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598. There are 8 integers that are factors of 598. The greatest factor of 598 is 598.

4. How to Find the LCM of 590 and 598?

Answer:

Least Common Multiple of 590 and 598 = 176410

Step 1: Find the prime factorization of 590

590 = 2 x 5 x 59

Step 2: Find the prime factorization of 598

598 = 2 x 13 x 23

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

LCM = 176410 = 2 x 5 x 13 x 23 x 59

Step 4: Therefore, the least common multiple of 590 and 598 is 176410.