Least Common Multiple of 3766 and 3774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3766 and 3774 the smallest integer that is 7106442 that is divisible by both numbers.

Least Common Multiple (LCM) of 3766 and 3774 is 7106442.

LCM(3766,3774) = 7106442

LCM of 3766 and 3774

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

LCM of:
and

Least Common Multiple of 3766 and 3774

LCM of 3766 and 3774 is 7106442

Least common multiple can be found by multiplying the highest exponent prime factors of 3766 and 3774. First we will calculate the prime factors of 3766 and 3774.

Prime Factorization of 3766


2 3766
7 1883
269 269
1

Prime factors of 3766 are 2, 7,269. Prime factorization of 3766 in exponential form is:

3766 = 21×71×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3766 and 3774.

LCM(3766,3774) = 21×31×71×171×371×2691
LCM(3766,3774) = 7106442

Factors of 3766

List of positive integer factors of 3766 that divides 3766 without a remainder.

1, 2, 7, 14, 269, 538, 1883, 3766

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

Least Common Multiple of 3766 and 3774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3766 and 3774, than apply into the LCM equation.

GCF(3766,3774) = 2
LCM(3766,3774) = ( 3766 × 3774) / 2
LCM(3766,3774) = 14212884 / 2
LCM(3766,3774) = 7106442

Properties of LCM 3766 and 3774

(i) The LCM of 3774 and 3766 is associative

LCM of 3766 and 3774 = LCM of 3774 and 3766

Related Least Common Multiples of 3766

Related Least Common Multiples of 3774

Frequently Asked Questions on LCM of 3766 and 3774

1. What is the LCM of 3766 and 3774?

Answer: LCM of 3766 and 3774 is 7106442.

2. What are the Factors of 3766?

Answer: Factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766. There are 8 integers that are factors of 3766. The greatest factor of 3766 is 3766.

3. 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.

4. How to Find the LCM of 3766 and 3774?

Answer:

Least Common Multiple of 3766 and 3774 = 7106442

Step 1: Find the prime factorization of 3766

3766 = 2 x 7 x 269

Step 2: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

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

LCM = 7106442 = 2 x 3 x 7 x 17 x 37 x 269

Step 4: Therefore, the least common multiple of 3766 and 3774 is 7106442.