Least Common Multiple of 1601 and 1605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1601 and 1605 the smallest integer that is 2569605 that is divisible by both numbers.

Least Common Multiple (LCM) of 1601 and 1605 is 2569605.

LCM(1601,1605) = 2569605

LCM of 1601 and 1605

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

LCM of:
and

Least Common Multiple of 1601 and 1605

LCM of 1601 and 1605 is 2569605

Least common multiple can be found by multiplying the highest exponent prime factors of 1601 and 1605. First we will calculate the prime factors of 1601 and 1605.

Prime Factorization of 1601


1601 1601
1

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

1601 = 16011

Prime Factorization of 1605


3 1605
5 535
107 107
1

Prime factors of 1605 are 3, 5,107. Prime factorization of 1605 in exponential form is:

1605 = 31×51×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1601 and 1605.

LCM(1601,1605) = 31×51×1071×16011
LCM(1601,1605) = 2569605

Factors of 1601

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

1, 1601

Factors of 1605

List of positive integer factors of 1605 that divides 1605 without a remainder.

1, 3, 5, 15, 107, 321, 535, 1605

Least Common Multiple of 1601 and 1605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1601 and 1605, than apply into the LCM equation.

GCF(1601,1605) = 1
LCM(1601,1605) = ( 1601 × 1605) / 1
LCM(1601,1605) = 2569605 / 1
LCM(1601,1605) = 2569605

Properties of LCM 1601 and 1605

(i) The LCM of 1605 and 1601 is associative

LCM of 1601 and 1605 = LCM of 1605 and 1601

Related Least Common Multiples of 1601

Related Least Common Multiples of 1605

Frequently Asked Questions on LCM of 1601 and 1605

1. What is the LCM of 1601 and 1605?

Answer: LCM of 1601 and 1605 is 2569605.

2. 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.

3. What are the Factors of 1605?

Answer: Factors of 1605 are 1, 3, 5, 15, 107, 321, 535, 1605. There are 8 integers that are factors of 1605. The greatest factor of 1605 is 1605.

4. How to Find the LCM of 1601 and 1605?

Answer:

Least Common Multiple of 1601 and 1605 = 2569605

Step 1: Find the prime factorization of 1601

1601 = 1601

Step 2: Find the prime factorization of 1605

1605 = 3 x 5 x 107

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

LCM = 2569605 = 3 x 5 x 107 x 1601

Step 4: Therefore, the least common multiple of 1601 and 1605 is 2569605.