Least Common Multiple of 1596 and 1599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1596 and 1599 the smallest integer that is 850668 that is divisible by both numbers.

Least Common Multiple (LCM) of 1596 and 1599 is 850668.

LCM(1596,1599) = 850668

LCM of 1596 and 1599

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

LCM of:
and

Least Common Multiple of 1596 and 1599

LCM of 1596 and 1599 is 850668

Least common multiple can be found by multiplying the highest exponent prime factors of 1596 and 1599. First we will calculate the prime factors of 1596 and 1599.

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

Prime Factorization of 1599


3 1599
13 533
41 41
1

Prime factors of 1599 are 3, 13,41. Prime factorization of 1599 in exponential form is:

1599 = 31×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1596 and 1599.

LCM(1596,1599) = 22×31×71×131×191×411
LCM(1596,1599) = 850668

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

Factors of 1599

List of positive integer factors of 1599 that divides 1599 without a remainder.

1, 3, 13, 39, 41, 123, 533, 1599

Least Common Multiple of 1596 and 1599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1596 and 1599, than apply into the LCM equation.

GCF(1596,1599) = 3
LCM(1596,1599) = ( 1596 × 1599) / 3
LCM(1596,1599) = 2552004 / 3
LCM(1596,1599) = 850668

Properties of LCM 1596 and 1599

(i) The LCM of 1599 and 1596 is associative

LCM of 1596 and 1599 = LCM of 1599 and 1596

Related Least Common Multiples of 1596

Related Least Common Multiples of 1599

Frequently Asked Questions on LCM of 1596 and 1599

1. What is the LCM of 1596 and 1599?

Answer: LCM of 1596 and 1599 is 850668.

2. 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.

3. What are the Factors of 1599?

Answer: Factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599. There are 8 integers that are factors of 1599. The greatest factor of 1599 is 1599.

4. How to Find the LCM of 1596 and 1599?

Answer:

Least Common Multiple of 1596 and 1599 = 850668

Step 1: Find the prime factorization of 1596

1596 = 2 x 2 x 3 x 7 x 19

Step 2: Find the prime factorization of 1599

1599 = 3 x 13 x 41

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

LCM = 850668 = 2 x 2 x 3 x 7 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 1596 and 1599 is 850668.