Least Common Multiple of 3794 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 3794 and 3798 the smallest integer that is 7204806 that is divisible by both numbers.

Least Common Multiple (LCM) of 3794 and 3798 is 7204806.

LCM(3794,3798) = 7204806

LCM of 3794 and 3798

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

LCM of:
and

Least Common Multiple of 3794 and 3798

LCM of 3794 and 3798 is 7204806

Least common multiple can be found by multiplying the highest exponent prime factors of 3794 and 3798. First we will calculate the prime factors of 3794 and 3798.

Prime Factorization of 3794


2 3794
7 1897
271 271
1

Prime factors of 3794 are 2, 7,271. Prime factorization of 3794 in exponential form is:

3794 = 21×71×2711

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 3794 and 3798.

LCM(3794,3798) = 21×32×71×2111×2711
LCM(3794,3798) = 7204806

Factors of 3794

List of positive integer factors of 3794 that divides 3794 without a remainder.

1, 2, 7, 14, 271, 542, 1897, 3794

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 3794 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 3794 and 3798, than apply into the LCM equation.

GCF(3794,3798) = 2
LCM(3794,3798) = ( 3794 × 3798) / 2
LCM(3794,3798) = 14409612 / 2
LCM(3794,3798) = 7204806

Properties of LCM 3794 and 3798

(i) The LCM of 3798 and 3794 is associative

LCM of 3794 and 3798 = LCM of 3798 and 3794

Related Least Common Multiples of 3794

Related Least Common Multiples of 3798

Frequently Asked Questions on LCM of 3794 and 3798

1. What is the LCM of 3794 and 3798?

Answer: LCM of 3794 and 3798 is 7204806.

2. What are the Factors of 3794?

Answer: Factors of 3794 are 1, 2, 7, 14, 271, 542, 1897, 3794. There are 8 integers that are factors of 3794. The greatest factor of 3794 is 3794.

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 3794 and 3798?

Answer:

Least Common Multiple of 3794 and 3798 = 7204806

Step 1: Find the prime factorization of 3794

3794 = 2 x 7 x 271

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 = 7204806 = 2 x 3 x 3 x 7 x 211 x 271

Step 4: Therefore, the least common multiple of 3794 and 3798 is 7204806.