Least Common Multiple of 1801 and 1804

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 1804 the smallest integer that is 3249004 that is divisible by both numbers.

Least Common Multiple (LCM) of 1801 and 1804 is 3249004.

LCM(1801,1804) = 3249004

LCM of 1801 and 1804

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

LCM of:
and

Least Common Multiple of 1801 and 1804

LCM of 1801 and 1804 is 3249004

Least common multiple can be found by multiplying the highest exponent prime factors of 1801 and 1804. First we will calculate the prime factors of 1801 and 1804.

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 1804


2 1804
2 902
11 451
41 41
1

Prime factors of 1804 are 2, 11,41. Prime factorization of 1804 in exponential form is:

1804 = 22×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1801 and 1804.

LCM(1801,1804) = 22×111×411×18011
LCM(1801,1804) = 3249004

Factors of 1801

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

1, 1801

Factors of 1804

List of positive integer factors of 1804 that divides 1804 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804

Least Common Multiple of 1801 and 1804 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 1804, than apply into the LCM equation.

GCF(1801,1804) = 1
LCM(1801,1804) = ( 1801 × 1804) / 1
LCM(1801,1804) = 3249004 / 1
LCM(1801,1804) = 3249004

Properties of LCM 1801 and 1804

(i) The LCM of 1804 and 1801 is associative

LCM of 1801 and 1804 = LCM of 1804 and 1801

Related Least Common Multiples of 1801

Related Least Common Multiples of 1804

Frequently Asked Questions on LCM of 1801 and 1804

1. What is the LCM of 1801 and 1804?

Answer: LCM of 1801 and 1804 is 3249004.

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 1804?

Answer: Factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804. There are 12 integers that are factors of 1804. The greatest factor of 1804 is 1804.

4. How to Find the LCM of 1801 and 1804?

Answer:

Least Common Multiple of 1801 and 1804 = 3249004

Step 1: Find the prime factorization of 1801

1801 = 1801

Step 2: Find the prime factorization of 1804

1804 = 2 x 2 x 11 x 41

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

LCM = 3249004 = 2 x 2 x 11 x 41 x 1801

Step 4: Therefore, the least common multiple of 1801 and 1804 is 3249004.