Least Common Multiple of 590 and 591

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 591 the smallest integer that is 348690 that is divisible by both numbers.

Least Common Multiple (LCM) of 590 and 591 is 348690.

LCM(590,591) = 348690

LCM of 590 and 591

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

LCM of:
and

Least Common Multiple of 590 and 591

LCM of 590 and 591 is 348690

Least common multiple can be found by multiplying the highest exponent prime factors of 590 and 591. First we will calculate the prime factors of 590 and 591.

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 591


3 591
197 197
1

Prime factors of 591 are 3,197. Prime factorization of 591 in exponential form is:

591 = 31×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 590 and 591.

LCM(590,591) = 21×31×51×591×1971
LCM(590,591) = 348690

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 591

List of positive integer factors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Least Common Multiple of 590 and 591 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 591, than apply into the LCM equation.

GCF(590,591) = 1
LCM(590,591) = ( 590 × 591) / 1
LCM(590,591) = 348690 / 1
LCM(590,591) = 348690

Properties of LCM 590 and 591

(i) The LCM of 591 and 590 is associative

LCM of 590 and 591 = LCM of 591 and 590

Related Least Common Multiples of 590

Related Least Common Multiples of 591

Frequently Asked Questions on LCM of 590 and 591

1. What is the LCM of 590 and 591?

Answer: LCM of 590 and 591 is 348690.

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 591?

Answer: Factors of 591 are 1, 3, 197, 591. There are 4 integers that are factors of 591. The greatest factor of 591 is 591.

4. How to Find the LCM of 590 and 591?

Answer:

Least Common Multiple of 590 and 591 = 348690

Step 1: Find the prime factorization of 590

590 = 2 x 5 x 59

Step 2: Find the prime factorization of 591

591 = 3 x 197

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

LCM = 348690 = 2 x 3 x 5 x 59 x 197

Step 4: Therefore, the least common multiple of 590 and 591 is 348690.