Least Common Multiple of 3790 and 3794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3790 and 3794 the smallest integer that is 7189630 that is divisible by both numbers.

Least Common Multiple (LCM) of 3790 and 3794 is 7189630.

LCM(3790,3794) = 7189630

LCM of 3790 and 3794

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

LCM of:
and

Least Common Multiple of 3790 and 3794

LCM of 3790 and 3794 is 7189630

Least common multiple can be found by multiplying the highest exponent prime factors of 3790 and 3794. First we will calculate the prime factors of 3790 and 3794.

Prime Factorization of 3790


2 3790
5 1895
379 379
1

Prime factors of 3790 are 2, 5,379. Prime factorization of 3790 in exponential form is:

3790 = 21×51×3791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3790 and 3794.

LCM(3790,3794) = 21×51×71×2711×3791
LCM(3790,3794) = 7189630

Factors of 3790

List of positive integer factors of 3790 that divides 3790 without a remainder.

1, 2, 5, 10, 379, 758, 1895, 3790

Factors of 3794

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

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

Least Common Multiple of 3790 and 3794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3790 and 3794, than apply into the LCM equation.

GCF(3790,3794) = 2
LCM(3790,3794) = ( 3790 × 3794) / 2
LCM(3790,3794) = 14379260 / 2
LCM(3790,3794) = 7189630

Properties of LCM 3790 and 3794

(i) The LCM of 3794 and 3790 is associative

LCM of 3790 and 3794 = LCM of 3794 and 3790

Related Least Common Multiples of 3790

Related Least Common Multiples of 3794

Frequently Asked Questions on LCM of 3790 and 3794

1. What is the LCM of 3790 and 3794?

Answer: LCM of 3790 and 3794 is 7189630.

2. What are the Factors of 3790?

Answer: Factors of 3790 are 1, 2, 5, 10, 379, 758, 1895, 3790. There are 8 integers that are factors of 3790. The greatest factor of 3790 is 3790.

3. 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.

4. How to Find the LCM of 3790 and 3794?

Answer:

Least Common Multiple of 3790 and 3794 = 7189630

Step 1: Find the prime factorization of 3790

3790 = 2 x 5 x 379

Step 2: Find the prime factorization of 3794

3794 = 2 x 7 x 271

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

LCM = 7189630 = 2 x 5 x 7 x 271 x 379

Step 4: Therefore, the least common multiple of 3790 and 3794 is 7189630.