Least Common Multiple of 1588 and 1596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1588 and 1596 the smallest integer that is 633612 that is divisible by both numbers.

Least Common Multiple (LCM) of 1588 and 1596 is 633612.

LCM(1588,1596) = 633612

LCM of 1588 and 1596

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

LCM of:
and

Least Common Multiple of 1588 and 1596

LCM of 1588 and 1596 is 633612

Least common multiple can be found by multiplying the highest exponent prime factors of 1588 and 1596. First we will calculate the prime factors of 1588 and 1596.

Prime Factorization of 1588


2 1588
2 794
397 397
1

Prime factors of 1588 are 2,397. Prime factorization of 1588 in exponential form is:

1588 = 22×3971

Prime Factorization of 1596


2 1596
2 798
3 399
7 133
19 19
1

Prime factors of 1596 are 2, 3, 7,19. Prime factorization of 1596 in exponential form is:

1596 = 22×31×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1588 and 1596.

LCM(1588,1596) = 22×31×71×191×3971
LCM(1588,1596) = 633612

Factors of 1588

List of positive integer factors of 1588 that divides 1588 without a remainder.

1, 2, 4, 397, 794, 1588

Factors of 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596

Least Common Multiple of 1588 and 1596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1588 and 1596, than apply into the LCM equation.

GCF(1588,1596) = 4
LCM(1588,1596) = ( 1588 × 1596) / 4
LCM(1588,1596) = 2534448 / 4
LCM(1588,1596) = 633612

Properties of LCM 1588 and 1596

(i) The LCM of 1596 and 1588 is associative

LCM of 1588 and 1596 = LCM of 1596 and 1588

Related Least Common Multiples of 1588

Related Least Common Multiples of 1596

Frequently Asked Questions on LCM of 1588 and 1596

1. What is the LCM of 1588 and 1596?

Answer: LCM of 1588 and 1596 is 633612.

2. What are the Factors of 1588?

Answer: Factors of 1588 are 1, 2, 4, 397, 794, 1588. There are 6 integers that are factors of 1588. The greatest factor of 1588 is 1588.

3. What are the Factors of 1596?

Answer: Factors of 1596 are 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596. There are 24 integers that are factors of 1596. The greatest factor of 1596 is 1596.

4. How to Find the LCM of 1588 and 1596?

Answer:

Least Common Multiple of 1588 and 1596 = 633612

Step 1: Find the prime factorization of 1588

1588 = 2 x 2 x 397

Step 2: Find the prime factorization of 1596

1596 = 2 x 2 x 3 x 7 x 19

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

LCM = 633612 = 2 x 2 x 3 x 7 x 19 x 397

Step 4: Therefore, the least common multiple of 1588 and 1596 is 633612.