Least Common Multiple of 1801 and 1805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1801 and 1805 the smallest integer that is 3250805 that is divisible by both numbers.

Least Common Multiple (LCM) of 1801 and 1805 is 3250805.

LCM(1801,1805) = 3250805

LCM of 1801 and 1805

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

LCM of:
and

Least Common Multiple of 1801 and 1805

LCM of 1801 and 1805 is 3250805

Least common multiple can be found by multiplying the highest exponent prime factors of 1801 and 1805. First we will calculate the prime factors of 1801 and 1805.

Prime Factorization of 1801


1801 1801
1

Prime factors of 1801 are 1801. Prime factorization of 1801 in exponential form is:

1801 = 18011

Prime Factorization of 1805


5 1805
19 361
19 19
1

Prime factors of 1805 are 5,19. Prime factorization of 1805 in exponential form is:

1805 = 51×192

Now multiplying the highest exponent prime factors to calculate the LCM of 1801 and 1805.

LCM(1801,1805) = 51×192×18011
LCM(1801,1805) = 3250805

Factors of 1801

List of positive integer factors of 1801 that divides 1801 without a remainder.

1, 1801

Factors of 1805

List of positive integer factors of 1805 that divides 1805 without a remainder.

1, 5, 19, 95, 361, 1805

Least Common Multiple of 1801 and 1805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1801 and 1805, than apply into the LCM equation.

GCF(1801,1805) = 1
LCM(1801,1805) = ( 1801 × 1805) / 1
LCM(1801,1805) = 3250805 / 1
LCM(1801,1805) = 3250805

Properties of LCM 1801 and 1805

(i) The LCM of 1805 and 1801 is associative

LCM of 1801 and 1805 = LCM of 1805 and 1801

Related Least Common Multiples of 1801

Related Least Common Multiples of 1805

Frequently Asked Questions on LCM of 1801 and 1805

1. What is the LCM of 1801 and 1805?

Answer: LCM of 1801 and 1805 is 3250805.

2. What are the Factors of 1801?

Answer: Factors of 1801 are 1, 1801. There are 2 integers that are factors of 1801. The greatest factor of 1801 is 1801.

3. What are the Factors of 1805?

Answer: Factors of 1805 are 1, 5, 19, 95, 361, 1805. There are 6 integers that are factors of 1805. The greatest factor of 1805 is 1805.

4. How to Find the LCM of 1801 and 1805?

Answer:

Least Common Multiple of 1801 and 1805 = 3250805

Step 1: Find the prime factorization of 1801

1801 = 1801

Step 2: Find the prime factorization of 1805

1805 = 5 x 19 x 19

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

LCM = 3250805 = 5 x 19 x 19 x 1801

Step 4: Therefore, the least common multiple of 1801 and 1805 is 3250805.