Least Common Multiple of 590 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 590 and 595 the smallest integer that is 70210 that is divisible by both numbers.

Least Common Multiple (LCM) of 590 and 595 is 70210.

LCM(590,595) = 70210

LCM of 590 and 595

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

LCM of:
and

Least Common Multiple of 590 and 595

LCM of 590 and 595 is 70210

Least common multiple can be found by multiplying the highest exponent prime factors of 590 and 595. First we will calculate the prime factors of 590 and 595.

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 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 590 and 595.

LCM(590,595) = 21×51×71×171×591
LCM(590,595) = 70210

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 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 590 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 590 and 595, than apply into the LCM equation.

GCF(590,595) = 5
LCM(590,595) = ( 590 × 595) / 5
LCM(590,595) = 351050 / 5
LCM(590,595) = 70210

Properties of LCM 590 and 595

(i) The LCM of 595 and 590 is associative

LCM of 590 and 595 = LCM of 595 and 590

Related Least Common Multiples of 590

Related Least Common Multiples of 595

Frequently Asked Questions on LCM of 590 and 595

1. What is the LCM of 590 and 595?

Answer: LCM of 590 and 595 is 70210.

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 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 590 and 595?

Answer:

Least Common Multiple of 590 and 595 = 70210

Step 1: Find the prime factorization of 590

590 = 2 x 5 x 59

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 = 70210 = 2 x 5 x 7 x 17 x 59

Step 4: Therefore, the least common multiple of 590 and 595 is 70210.