Least Common Multiple of 3774 and 3780

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 3780 the smallest integer that is 2377620 that is divisible by both numbers.

Least Common Multiple (LCM) of 3774 and 3780 is 2377620.

LCM(3774,3780) = 2377620

LCM of 3774 and 3780

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

LCM of:
and

Least Common Multiple of 3774 and 3780

LCM of 3774 and 3780 is 2377620

Least common multiple can be found by multiplying the highest exponent prime factors of 3774 and 3780. First we will calculate the prime factors of 3774 and 3780.

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 3780


2 3780
2 1890
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 3780 are 2, 3, 5,7. Prime factorization of 3780 in exponential form is:

3780 = 22×33×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 3774 and 3780.

LCM(3774,3780) = 22×33×51×71×171×371
LCM(3774,3780) = 2377620

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 3780

List of positive integer factors of 3780 that divides 3780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780

Least Common Multiple of 3774 and 3780 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 3780, than apply into the LCM equation.

GCF(3774,3780) = 6
LCM(3774,3780) = ( 3774 × 3780) / 6
LCM(3774,3780) = 14265720 / 6
LCM(3774,3780) = 2377620

Properties of LCM 3774 and 3780

(i) The LCM of 3780 and 3774 is associative

LCM of 3774 and 3780 = LCM of 3780 and 3774

Related Least Common Multiples of 3774

Related Least Common Multiples of 3780

Frequently Asked Questions on LCM of 3774 and 3780

1. What is the LCM of 3774 and 3780?

Answer: LCM of 3774 and 3780 is 2377620.

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 3780?

Answer: Factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780. There are 48 integers that are factors of 3780. The greatest factor of 3780 is 3780.

4. How to Find the LCM of 3774 and 3780?

Answer:

Least Common Multiple of 3774 and 3780 = 2377620

Step 1: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

Step 2: Find the prime factorization of 3780

3780 = 2 x 2 x 3 x 3 x 3 x 5 x 7

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

LCM = 2377620 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 17 x 37

Step 4: Therefore, the least common multiple of 3774 and 3780 is 2377620.