Least Common Multiple of 1794 and 1801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1794 and 1801 the smallest integer that is 3230994 that is divisible by both numbers.

Least Common Multiple (LCM) of 1794 and 1801 is 3230994.

LCM(1794,1801) = 3230994

LCM of 1794 and 1801

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

LCM of:
and

Least Common Multiple of 1794 and 1801

LCM of 1794 and 1801 is 3230994

Least common multiple can be found by multiplying the highest exponent prime factors of 1794 and 1801. First we will calculate the prime factors of 1794 and 1801.

Prime Factorization of 1794


2 1794
3 897
13 299
23 23
1

Prime factors of 1794 are 2, 3, 13,23. Prime factorization of 1794 in exponential form is:

1794 = 21×31×131×231

Prime Factorization of 1801


1801 1801
1

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

1801 = 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 1794 and 1801.

LCM(1794,1801) = 21×31×131×231×18011
LCM(1794,1801) = 3230994

Factors of 1794

List of positive integer factors of 1794 that divides 1794 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897, 1794

Factors of 1801

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

1, 1801

Least Common Multiple of 1794 and 1801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1794 and 1801, than apply into the LCM equation.

GCF(1794,1801) = 1
LCM(1794,1801) = ( 1794 × 1801) / 1
LCM(1794,1801) = 3230994 / 1
LCM(1794,1801) = 3230994

Properties of LCM 1794 and 1801

(i) The LCM of 1801 and 1794 is associative

LCM of 1794 and 1801 = LCM of 1801 and 1794

Related Least Common Multiples of 1794

Related Least Common Multiples of 1801

Frequently Asked Questions on LCM of 1794 and 1801

1. What is the LCM of 1794 and 1801?

Answer: LCM of 1794 and 1801 is 3230994.

2. What are the Factors of 1794?

Answer: Factors of 1794 are 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897, 1794. There are 16 integers that are factors of 1794. The greatest factor of 1794 is 1794.

3. 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.

4. How to Find the LCM of 1794 and 1801?

Answer:

Least Common Multiple of 1794 and 1801 = 3230994

Step 1: Find the prime factorization of 1794

1794 = 2 x 3 x 13 x 23

Step 2: Find the prime factorization of 1801

1801 = 1801

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

LCM = 3230994 = 2 x 3 x 13 x 23 x 1801

Step 4: Therefore, the least common multiple of 1794 and 1801 is 3230994.