Least Common Multiple of 3782 and 3790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3782 and 3790 the smallest integer that is 7166890 that is divisible by both numbers.

Least Common Multiple (LCM) of 3782 and 3790 is 7166890.

LCM(3782,3790) = 7166890

LCM of 3782 and 3790

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

LCM of:
and

Least Common Multiple of 3782 and 3790

LCM of 3782 and 3790 is 7166890

Least common multiple can be found by multiplying the highest exponent prime factors of 3782 and 3790. First we will calculate the prime factors of 3782 and 3790.

Prime Factorization of 3782


2 3782
31 1891
61 61
1

Prime factors of 3782 are 2, 31,61. Prime factorization of 3782 in exponential form is:

3782 = 21×311×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3782 and 3790.

LCM(3782,3790) = 21×51×311×611×3791
LCM(3782,3790) = 7166890

Factors of 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1, 2, 31, 61, 62, 122, 1891, 3782

Factors of 3790

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

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

Least Common Multiple of 3782 and 3790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3782 and 3790, than apply into the LCM equation.

GCF(3782,3790) = 2
LCM(3782,3790) = ( 3782 × 3790) / 2
LCM(3782,3790) = 14333780 / 2
LCM(3782,3790) = 7166890

Properties of LCM 3782 and 3790

(i) The LCM of 3790 and 3782 is associative

LCM of 3782 and 3790 = LCM of 3790 and 3782

Related Least Common Multiples of 3782

Related Least Common Multiples of 3790

Frequently Asked Questions on LCM of 3782 and 3790

1. What is the LCM of 3782 and 3790?

Answer: LCM of 3782 and 3790 is 7166890.

2. What are the Factors of 3782?

Answer: Factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782. There are 8 integers that are factors of 3782. The greatest factor of 3782 is 3782.

3. 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.

4. How to Find the LCM of 3782 and 3790?

Answer:

Least Common Multiple of 3782 and 3790 = 7166890

Step 1: Find the prime factorization of 3782

3782 = 2 x 31 x 61

Step 2: Find the prime factorization of 3790

3790 = 2 x 5 x 379

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

LCM = 7166890 = 2 x 5 x 31 x 61 x 379

Step 4: Therefore, the least common multiple of 3782 and 3790 is 7166890.