Least Common Multiple of 588 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 588 and 595 the smallest integer that is 49980 that is divisible by both numbers.

Least Common Multiple (LCM) of 588 and 595 is 49980.

LCM(588,595) = 49980

LCM of 588 and 595

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

LCM of:
and

Least Common Multiple of 588 and 595

LCM of 588 and 595 is 49980

Least common multiple can be found by multiplying the highest exponent prime factors of 588 and 595. First we will calculate the prime factors of 588 and 595.

Prime Factorization of 588


2 588
2 294
3 147
7 49
7 7
1

Prime factors of 588 are 2, 3,7. Prime factorization of 588 in exponential form is:

588 = 22×31×72

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 588 and 595.

LCM(588,595) = 22×31×51×72×171
LCM(588,595) = 49980

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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 588 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 588 and 595, than apply into the LCM equation.

GCF(588,595) = 7
LCM(588,595) = ( 588 × 595) / 7
LCM(588,595) = 349860 / 7
LCM(588,595) = 49980

Properties of LCM 588 and 595

(i) The LCM of 595 and 588 is associative

LCM of 588 and 595 = LCM of 595 and 588

Related Least Common Multiples of 588

Related Least Common Multiples of 595

Frequently Asked Questions on LCM of 588 and 595

1. What is the LCM of 588 and 595?

Answer: LCM of 588 and 595 is 49980.

2. What are the Factors of 588?

Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.

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 588 and 595?

Answer:

Least Common Multiple of 588 and 595 = 49980

Step 1: Find the prime factorization of 588

588 = 2 x 2 x 3 x 7 x 7

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 = 49980 = 2 x 2 x 3 x 5 x 7 x 7 x 17

Step 4: Therefore, the least common multiple of 588 and 595 is 49980.