Least Common Multiple of 1595 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 1595 and 1596 the smallest integer that is 2545620 that is divisible by both numbers.

Least Common Multiple (LCM) of 1595 and 1596 is 2545620.

LCM(1595,1596) = 2545620

LCM of 1595 and 1596

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

LCM of:
and

Least Common Multiple of 1595 and 1596

LCM of 1595 and 1596 is 2545620

Least common multiple can be found by multiplying the highest exponent prime factors of 1595 and 1596. First we will calculate the prime factors of 1595 and 1596.

Prime Factorization of 1595


5 1595
11 319
29 29
1

Prime factors of 1595 are 5, 11,29. Prime factorization of 1595 in exponential form is:

1595 = 51×111×291

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 1595 and 1596.

LCM(1595,1596) = 22×31×51×71×111×191×291
LCM(1595,1596) = 2545620

Factors of 1595

List of positive integer factors of 1595 that divides 1595 without a remainder.

1, 5, 11, 29, 55, 145, 319, 1595

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 1595 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 1595 and 1596, than apply into the LCM equation.

GCF(1595,1596) = 1
LCM(1595,1596) = ( 1595 × 1596) / 1
LCM(1595,1596) = 2545620 / 1
LCM(1595,1596) = 2545620

Properties of LCM 1595 and 1596

(i) The LCM of 1596 and 1595 is associative

LCM of 1595 and 1596 = LCM of 1596 and 1595

Related Least Common Multiples of 1595

Related Least Common Multiples of 1596

Frequently Asked Questions on LCM of 1595 and 1596

1. What is the LCM of 1595 and 1596?

Answer: LCM of 1595 and 1596 is 2545620.

2. What are the Factors of 1595?

Answer: Factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595. There are 8 integers that are factors of 1595. The greatest factor of 1595 is 1595.

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 1595 and 1596?

Answer:

Least Common Multiple of 1595 and 1596 = 2545620

Step 1: Find the prime factorization of 1595

1595 = 5 x 11 x 29

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 = 2545620 = 2 x 2 x 3 x 5 x 7 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 1595 and 1596 is 2545620.