Least Common Multiple of 1601 and 1603

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 1603 the smallest integer that is 2566403 that is divisible by both numbers.

Least Common Multiple (LCM) of 1601 and 1603 is 2566403.

LCM(1601,1603) = 2566403

LCM of 1601 and 1603

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

LCM of:
and

Least Common Multiple of 1601 and 1603

LCM of 1601 and 1603 is 2566403

Least common multiple can be found by multiplying the highest exponent prime factors of 1601 and 1603. First we will calculate the prime factors of 1601 and 1603.

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 1603


7 1603
229 229
1

Prime factors of 1603 are 7,229. Prime factorization of 1603 in exponential form is:

1603 = 71×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 1601 and 1603.

LCM(1601,1603) = 71×2291×16011
LCM(1601,1603) = 2566403

Factors of 1601

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

1, 1601

Factors of 1603

List of positive integer factors of 1603 that divides 1603 without a remainder.

1, 7, 229, 1603

Least Common Multiple of 1601 and 1603 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 1603, than apply into the LCM equation.

GCF(1601,1603) = 1
LCM(1601,1603) = ( 1601 × 1603) / 1
LCM(1601,1603) = 2566403 / 1
LCM(1601,1603) = 2566403

Properties of LCM 1601 and 1603

(i) The LCM of 1603 and 1601 is associative

LCM of 1601 and 1603 = LCM of 1603 and 1601

Related Least Common Multiples of 1601

Related Least Common Multiples of 1603

Frequently Asked Questions on LCM of 1601 and 1603

1. What is the LCM of 1601 and 1603?

Answer: LCM of 1601 and 1603 is 2566403.

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 1603?

Answer: Factors of 1603 are 1, 7, 229, 1603. There are 4 integers that are factors of 1603. The greatest factor of 1603 is 1603.

4. How to Find the LCM of 1601 and 1603?

Answer:

Least Common Multiple of 1601 and 1603 = 2566403

Step 1: Find the prime factorization of 1601

1601 = 1601

Step 2: Find the prime factorization of 1603

1603 = 7 x 229

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

LCM = 2566403 = 7 x 229 x 1601

Step 4: Therefore, the least common multiple of 1601 and 1603 is 2566403.