Least Common Multiple of 1596 and 1597

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 1597 the smallest integer that is 2548812 that is divisible by both numbers.

Least Common Multiple (LCM) of 1596 and 1597 is 2548812.

LCM(1596,1597) = 2548812

LCM of 1596 and 1597

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

LCM of:
and

Least Common Multiple of 1596 and 1597

LCM of 1596 and 1597 is 2548812

Least common multiple can be found by multiplying the highest exponent prime factors of 1596 and 1597. First we will calculate the prime factors of 1596 and 1597.

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 1597


1597 1597
1

Prime factors of 1597 are 1597. Prime factorization of 1597 in exponential form is:

1597 = 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 1596 and 1597.

LCM(1596,1597) = 22×31×71×191×15971
LCM(1596,1597) = 2548812

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 1597

List of positive integer factors of 1597 that divides 1597 without a remainder.

1, 1597

Least Common Multiple of 1596 and 1597 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 1597, than apply into the LCM equation.

GCF(1596,1597) = 1
LCM(1596,1597) = ( 1596 × 1597) / 1
LCM(1596,1597) = 2548812 / 1
LCM(1596,1597) = 2548812

Properties of LCM 1596 and 1597

(i) The LCM of 1597 and 1596 is associative

LCM of 1596 and 1597 = LCM of 1597 and 1596

Related Least Common Multiples of 1596

Related Least Common Multiples of 1597

Frequently Asked Questions on LCM of 1596 and 1597

1. What is the LCM of 1596 and 1597?

Answer: LCM of 1596 and 1597 is 2548812.

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 1597?

Answer: Factors of 1597 are 1, 1597. There are 2 integers that are factors of 1597. The greatest factor of 1597 is 1597.

4. How to Find the LCM of 1596 and 1597?

Answer:

Least Common Multiple of 1596 and 1597 = 2548812

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 1597

1597 = 1597

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

LCM = 2548812 = 2 x 2 x 3 x 7 x 19 x 1597

Step 4: Therefore, the least common multiple of 1596 and 1597 is 2548812.