Least Common Multiple of 1600 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 1600 and 1602 the smallest integer that is 1281600 that is divisible by both numbers.

Least Common Multiple (LCM) of 1600 and 1602 is 1281600.

LCM(1600,1602) = 1281600

LCM of 1600 and 1602

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

LCM of:
and

Least Common Multiple of 1600 and 1602

LCM of 1600 and 1602 is 1281600

Least common multiple can be found by multiplying the highest exponent prime factors of 1600 and 1602. First we will calculate the prime factors of 1600 and 1602.

Prime Factorization of 1600


2 1600
2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 1600 are 2,5. Prime factorization of 1600 in exponential form is:

1600 = 26×52

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 1600 and 1602.

LCM(1600,1602) = 26×32×52×891
LCM(1600,1602) = 1281600

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600

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 1600 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 1600 and 1602, than apply into the LCM equation.

GCF(1600,1602) = 2
LCM(1600,1602) = ( 1600 × 1602) / 2
LCM(1600,1602) = 2563200 / 2
LCM(1600,1602) = 1281600

Properties of LCM 1600 and 1602

(i) The LCM of 1602 and 1600 is associative

LCM of 1600 and 1602 = LCM of 1602 and 1600

Related Least Common Multiples of 1600

Related Least Common Multiples of 1602

Frequently Asked Questions on LCM of 1600 and 1602

1. What is the LCM of 1600 and 1602?

Answer: LCM of 1600 and 1602 is 1281600.

2. What are the Factors of 1600?

Answer: Factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600. There are 21 integers that are factors of 1600. The greatest factor of 1600 is 1600.

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 1600 and 1602?

Answer:

Least Common Multiple of 1600 and 1602 = 1281600

Step 1: Find the prime factorization of 1600

1600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5

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 = 1281600 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 89

Step 4: Therefore, the least common multiple of 1600 and 1602 is 1281600.