Least Common Multiple of 3774 and 3781

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 3781 the smallest integer that is 14269494 that is divisible by both numbers.

Least Common Multiple (LCM) of 3774 and 3781 is 14269494.

LCM(3774,3781) = 14269494

LCM of 3774 and 3781

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

LCM of:
and

Least Common Multiple of 3774 and 3781

LCM of 3774 and 3781 is 14269494

Least common multiple can be found by multiplying the highest exponent prime factors of 3774 and 3781. First we will calculate the prime factors of 3774 and 3781.

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 3781


19 3781
199 199
1

Prime factors of 3781 are 19,199. Prime factorization of 3781 in exponential form is:

3781 = 191×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 3774 and 3781.

LCM(3774,3781) = 21×31×171×191×371×1991
LCM(3774,3781) = 14269494

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 3781

List of positive integer factors of 3781 that divides 3781 without a remainder.

1, 19, 199, 3781

Least Common Multiple of 3774 and 3781 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 3781, than apply into the LCM equation.

GCF(3774,3781) = 1
LCM(3774,3781) = ( 3774 × 3781) / 1
LCM(3774,3781) = 14269494 / 1
LCM(3774,3781) = 14269494

Properties of LCM 3774 and 3781

(i) The LCM of 3781 and 3774 is associative

LCM of 3774 and 3781 = LCM of 3781 and 3774

Related Least Common Multiples of 3774

Related Least Common Multiples of 3781

Frequently Asked Questions on LCM of 3774 and 3781

1. What is the LCM of 3774 and 3781?

Answer: LCM of 3774 and 3781 is 14269494.

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 3781?

Answer: Factors of 3781 are 1, 19, 199, 3781. There are 4 integers that are factors of 3781. The greatest factor of 3781 is 3781.

4. How to Find the LCM of 3774 and 3781?

Answer:

Least Common Multiple of 3774 and 3781 = 14269494

Step 1: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

Step 2: Find the prime factorization of 3781

3781 = 19 x 199

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

LCM = 14269494 = 2 x 3 x 17 x 19 x 37 x 199

Step 4: Therefore, the least common multiple of 3774 and 3781 is 14269494.