Least Common Multiple of 1596 and 1602

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 1602 the smallest integer that is 426132 that is divisible by both numbers.

Least Common Multiple (LCM) of 1596 and 1602 is 426132.

LCM(1596,1602) = 426132

LCM of 1596 and 1602

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

LCM of:
and

Least Common Multiple of 1596 and 1602

LCM of 1596 and 1602 is 426132

Least common multiple can be found by multiplying the highest exponent prime factors of 1596 and 1602. First we will calculate the prime factors of 1596 and 1602.

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 1602


2 1602
3 801
3 267
89 89
1

Prime factors of 1602 are 2, 3,89. Prime factorization of 1602 in exponential form is:

1602 = 21×32×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1596 and 1602.

LCM(1596,1602) = 22×32×71×191×891
LCM(1596,1602) = 426132

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 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602

Least Common Multiple of 1596 and 1602 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 1602, than apply into the LCM equation.

GCF(1596,1602) = 6
LCM(1596,1602) = ( 1596 × 1602) / 6
LCM(1596,1602) = 2556792 / 6
LCM(1596,1602) = 426132

Properties of LCM 1596 and 1602

(i) The LCM of 1602 and 1596 is associative

LCM of 1596 and 1602 = LCM of 1602 and 1596

Related Least Common Multiples of 1596

Related Least Common Multiples of 1602

Frequently Asked Questions on LCM of 1596 and 1602

1. What is the LCM of 1596 and 1602?

Answer: LCM of 1596 and 1602 is 426132.

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 1602?

Answer: Factors of 1602 are 1, 2, 3, 6, 9, 18, 89, 178, 267, 534, 801, 1602. There are 12 integers that are factors of 1602. The greatest factor of 1602 is 1602.

4. How to Find the LCM of 1596 and 1602?

Answer:

Least Common Multiple of 1596 and 1602 = 426132

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 1602

1602 = 2 x 3 x 3 x 89

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

LCM = 426132 = 2 x 2 x 3 x 3 x 7 x 19 x 89

Step 4: Therefore, the least common multiple of 1596 and 1602 is 426132.