Least Common Multiple of 3774 and 3782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3774 and 3782 the smallest integer that is 7136634 that is divisible by both numbers.

Least Common Multiple (LCM) of 3774 and 3782 is 7136634.

LCM(3774,3782) = 7136634

LCM of 3774 and 3782

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

LCM of:
and

Least Common Multiple of 3774 and 3782

LCM of 3774 and 3782 is 7136634

Least common multiple can be found by multiplying the highest exponent prime factors of 3774 and 3782. First we will calculate the prime factors of 3774 and 3782.

Prime Factorization of 3774


2 3774
3 1887
17 629
37 37
1

Prime factors of 3774 are 2, 3, 17,37. Prime factorization of 3774 in exponential form is:

3774 = 21×31×171×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3774 and 3782.

LCM(3774,3782) = 21×31×171×311×371×611
LCM(3774,3782) = 7136634

Factors of 3774

List of positive integer factors of 3774 that divides 3774 without a remainder.

1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774

Factors of 3782

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

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

Least Common Multiple of 3774 and 3782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3774 and 3782, than apply into the LCM equation.

GCF(3774,3782) = 2
LCM(3774,3782) = ( 3774 × 3782) / 2
LCM(3774,3782) = 14273268 / 2
LCM(3774,3782) = 7136634

Properties of LCM 3774 and 3782

(i) The LCM of 3782 and 3774 is associative

LCM of 3774 and 3782 = LCM of 3782 and 3774

Related Least Common Multiples of 3774

Related Least Common Multiples of 3782

Frequently Asked Questions on LCM of 3774 and 3782

1. What is the LCM of 3774 and 3782?

Answer: LCM of 3774 and 3782 is 7136634.

2. What are the Factors of 3774?

Answer: Factors of 3774 are 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774. There are 16 integers that are factors of 3774. The greatest factor of 3774 is 3774.

3. 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.

4. How to Find the LCM of 3774 and 3782?

Answer:

Least Common Multiple of 3774 and 3782 = 7136634

Step 1: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

Step 2: Find the prime factorization of 3782

3782 = 2 x 31 x 61

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

LCM = 7136634 = 2 x 3 x 17 x 31 x 37 x 61

Step 4: Therefore, the least common multiple of 3774 and 3782 is 7136634.