Least Common Multiple of 1596 and 1598

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 1598 the smallest integer that is 1275204 that is divisible by both numbers.

Least Common Multiple (LCM) of 1596 and 1598 is 1275204.

LCM(1596,1598) = 1275204

LCM of 1596 and 1598

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

LCM of:
and

Least Common Multiple of 1596 and 1598

LCM of 1596 and 1598 is 1275204

Least common multiple can be found by multiplying the highest exponent prime factors of 1596 and 1598. First we will calculate the prime factors of 1596 and 1598.

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 1598


2 1598
17 799
47 47
1

Prime factors of 1598 are 2, 17,47. Prime factorization of 1598 in exponential form is:

1598 = 21×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1596 and 1598.

LCM(1596,1598) = 22×31×71×171×191×471
LCM(1596,1598) = 1275204

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 1598

List of positive integer factors of 1598 that divides 1598 without a remainder.

1, 2, 17, 34, 47, 94, 799, 1598

Least Common Multiple of 1596 and 1598 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 1598, than apply into the LCM equation.

GCF(1596,1598) = 2
LCM(1596,1598) = ( 1596 × 1598) / 2
LCM(1596,1598) = 2550408 / 2
LCM(1596,1598) = 1275204

Properties of LCM 1596 and 1598

(i) The LCM of 1598 and 1596 is associative

LCM of 1596 and 1598 = LCM of 1598 and 1596

Related Least Common Multiples of 1596

Related Least Common Multiples of 1598

Frequently Asked Questions on LCM of 1596 and 1598

1. What is the LCM of 1596 and 1598?

Answer: LCM of 1596 and 1598 is 1275204.

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 1598?

Answer: Factors of 1598 are 1, 2, 17, 34, 47, 94, 799, 1598. There are 8 integers that are factors of 1598. The greatest factor of 1598 is 1598.

4. How to Find the LCM of 1596 and 1598?

Answer:

Least Common Multiple of 1596 and 1598 = 1275204

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 1598

1598 = 2 x 17 x 47

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

LCM = 1275204 = 2 x 2 x 3 x 7 x 17 x 19 x 47

Step 4: Therefore, the least common multiple of 1596 and 1598 is 1275204.