Least Common Multiple of 3793 and 3798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3793 and 3798 the smallest integer that is 14405814 that is divisible by both numbers.

Least Common Multiple (LCM) of 3793 and 3798 is 14405814.

LCM(3793,3798) = 14405814

LCM of 3793 and 3798

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

LCM of:
and

Least Common Multiple of 3793 and 3798

LCM of 3793 and 3798 is 14405814

Least common multiple can be found by multiplying the highest exponent prime factors of 3793 and 3798. First we will calculate the prime factors of 3793 and 3798.

Prime Factorization of 3793


3793 3793
1

Prime factors of 3793 are 3793. Prime factorization of 3793 in exponential form is:

3793 = 37931

Prime Factorization of 3798


2 3798
3 1899
3 633
211 211
1

Prime factors of 3798 are 2, 3,211. Prime factorization of 3798 in exponential form is:

3798 = 21×32×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 3793 and 3798.

LCM(3793,3798) = 21×32×2111×37931
LCM(3793,3798) = 14405814

Factors of 3793

List of positive integer factors of 3793 that divides 3793 without a remainder.

1, 3793

Factors of 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798

Least Common Multiple of 3793 and 3798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3793 and 3798, than apply into the LCM equation.

GCF(3793,3798) = 1
LCM(3793,3798) = ( 3793 × 3798) / 1
LCM(3793,3798) = 14405814 / 1
LCM(3793,3798) = 14405814

Properties of LCM 3793 and 3798

(i) The LCM of 3798 and 3793 is associative

LCM of 3793 and 3798 = LCM of 3798 and 3793

Related Least Common Multiples of 3793

Related Least Common Multiples of 3798

Frequently Asked Questions on LCM of 3793 and 3798

1. What is the LCM of 3793 and 3798?

Answer: LCM of 3793 and 3798 is 14405814.

2. What are the Factors of 3793?

Answer: Factors of 3793 are 1, 3793. There are 2 integers that are factors of 3793. The greatest factor of 3793 is 3793.

3. What are the Factors of 3798?

Answer: Factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798. There are 12 integers that are factors of 3798. The greatest factor of 3798 is 3798.

4. How to Find the LCM of 3793 and 3798?

Answer:

Least Common Multiple of 3793 and 3798 = 14405814

Step 1: Find the prime factorization of 3793

3793 = 3793

Step 2: Find the prime factorization of 3798

3798 = 2 x 3 x 3 x 211

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

LCM = 14405814 = 2 x 3 x 3 x 211 x 3793

Step 4: Therefore, the least common multiple of 3793 and 3798 is 14405814.