Least Common Multiple of 591 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 591 and 596 the smallest integer that is 352236 that is divisible by both numbers.

Least Common Multiple (LCM) of 591 and 596 is 352236.

LCM(591,596) = 352236

LCM of 591 and 596

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

LCM of:
and

Least Common Multiple of 591 and 596

LCM of 591 and 596 is 352236

Least common multiple can be found by multiplying the highest exponent prime factors of 591 and 596. First we will calculate the prime factors of 591 and 596.

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 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 591 and 596.

LCM(591,596) = 22×31×1491×1971
LCM(591,596) = 352236

Factors of 591

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

1, 3, 197, 591

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 591 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 591 and 596, than apply into the LCM equation.

GCF(591,596) = 1
LCM(591,596) = ( 591 × 596) / 1
LCM(591,596) = 352236 / 1
LCM(591,596) = 352236

Properties of LCM 591 and 596

(i) The LCM of 596 and 591 is associative

LCM of 591 and 596 = LCM of 596 and 591

Related Least Common Multiples of 591

Related Least Common Multiples of 596

Frequently Asked Questions on LCM of 591 and 596

1. What is the LCM of 591 and 596?

Answer: LCM of 591 and 596 is 352236.

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 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 591 and 596?

Answer:

Least Common Multiple of 591 and 596 = 352236

Step 1: Find the prime factorization of 591

591 = 3 x 197

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 = 352236 = 2 x 2 x 3 x 149 x 197

Step 4: Therefore, the least common multiple of 591 and 596 is 352236.