Least Common Multiple of 1600 and 1601

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 1601 the smallest integer that is 2561600 that is divisible by both numbers.

Least Common Multiple (LCM) of 1600 and 1601 is 2561600.

LCM(1600,1601) = 2561600

LCM of 1600 and 1601

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

LCM of:
and

Least Common Multiple of 1600 and 1601

LCM of 1600 and 1601 is 2561600

Least common multiple can be found by multiplying the highest exponent prime factors of 1600 and 1601. First we will calculate the prime factors of 1600 and 1601.

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 1601


1601 1601
1

Prime factors of 1601 are 1601. Prime factorization of 1601 in exponential form is:

1601 = 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 1600 and 1601.

LCM(1600,1601) = 26×52×16011
LCM(1600,1601) = 2561600

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 1601

List of positive integer factors of 1601 that divides 1601 without a remainder.

1, 1601

Least Common Multiple of 1600 and 1601 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 1601, than apply into the LCM equation.

GCF(1600,1601) = 1
LCM(1600,1601) = ( 1600 × 1601) / 1
LCM(1600,1601) = 2561600 / 1
LCM(1600,1601) = 2561600

Properties of LCM 1600 and 1601

(i) The LCM of 1601 and 1600 is associative

LCM of 1600 and 1601 = LCM of 1601 and 1600

Related Least Common Multiples of 1600

Related Least Common Multiples of 1601

Frequently Asked Questions on LCM of 1600 and 1601

1. What is the LCM of 1600 and 1601?

Answer: LCM of 1600 and 1601 is 2561600.

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 1601?

Answer: Factors of 1601 are 1, 1601. There are 2 integers that are factors of 1601. The greatest factor of 1601 is 1601.

4. How to Find the LCM of 1600 and 1601?

Answer:

Least Common Multiple of 1600 and 1601 = 2561600

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 1601

1601 = 1601

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

LCM = 2561600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 1601

Step 4: Therefore, the least common multiple of 1600 and 1601 is 2561600.