Least Common Multiple of 1596 and 1604

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 1604 the smallest integer that is 639996 that is divisible by both numbers.

Least Common Multiple (LCM) of 1596 and 1604 is 639996.

LCM(1596,1604) = 639996

LCM of 1596 and 1604

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

LCM of:
and

Least Common Multiple of 1596 and 1604

LCM of 1596 and 1604 is 639996

Least common multiple can be found by multiplying the highest exponent prime factors of 1596 and 1604. First we will calculate the prime factors of 1596 and 1604.

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 1604


2 1604
2 802
401 401
1

Prime factors of 1604 are 2,401. Prime factorization of 1604 in exponential form is:

1604 = 22×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 1596 and 1604.

LCM(1596,1604) = 22×31×71×191×4011
LCM(1596,1604) = 639996

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 1604

List of positive integer factors of 1604 that divides 1604 without a remainder.

1, 2, 4, 401, 802, 1604

Least Common Multiple of 1596 and 1604 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 1604, than apply into the LCM equation.

GCF(1596,1604) = 4
LCM(1596,1604) = ( 1596 × 1604) / 4
LCM(1596,1604) = 2559984 / 4
LCM(1596,1604) = 639996

Properties of LCM 1596 and 1604

(i) The LCM of 1604 and 1596 is associative

LCM of 1596 and 1604 = LCM of 1604 and 1596

Related Least Common Multiples of 1596

Related Least Common Multiples of 1604

Frequently Asked Questions on LCM of 1596 and 1604

1. What is the LCM of 1596 and 1604?

Answer: LCM of 1596 and 1604 is 639996.

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 1604?

Answer: Factors of 1604 are 1, 2, 4, 401, 802, 1604. There are 6 integers that are factors of 1604. The greatest factor of 1604 is 1604.

4. How to Find the LCM of 1596 and 1604?

Answer:

Least Common Multiple of 1596 and 1604 = 639996

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 1604

1604 = 2 x 2 x 401

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

LCM = 639996 = 2 x 2 x 3 x 7 x 19 x 401

Step 4: Therefore, the least common multiple of 1596 and 1604 is 639996.