Least Common Multiple of 591 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 591 and 595 the smallest integer that is 351645 that is divisible by both numbers.

Least Common Multiple (LCM) of 591 and 595 is 351645.

LCM(591,595) = 351645

LCM of 591 and 595

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

LCM of:
and

Least Common Multiple of 591 and 595

LCM of 591 and 595 is 351645

Least common multiple can be found by multiplying the highest exponent prime factors of 591 and 595. First we will calculate the prime factors of 591 and 595.

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

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 591 and 595.

LCM(591,595) = 31×51×71×171×1971
LCM(591,595) = 351645

Factors of 591

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

1, 3, 197, 591

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 591 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 591 and 595, than apply into the LCM equation.

GCF(591,595) = 1
LCM(591,595) = ( 591 × 595) / 1
LCM(591,595) = 351645 / 1
LCM(591,595) = 351645

Properties of LCM 591 and 595

(i) The LCM of 595 and 591 is associative

LCM of 591 and 595 = LCM of 595 and 591

Related Least Common Multiples of 591

Related Least Common Multiples of 595

Frequently Asked Questions on LCM of 591 and 595

1. What is the LCM of 591 and 595?

Answer: LCM of 591 and 595 is 351645.

2. 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.

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 591 and 595?

Answer:

Least Common Multiple of 591 and 595 = 351645

Step 1: Find the prime factorization of 591

591 = 3 x 197

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 = 351645 = 3 x 5 x 7 x 17 x 197

Step 4: Therefore, the least common multiple of 591 and 595 is 351645.