Least Common Multiple of 3780 and 3786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3780 and 3786 the smallest integer that is 2385180 that is divisible by both numbers.

Least Common Multiple (LCM) of 3780 and 3786 is 2385180.

LCM(3780,3786) = 2385180

LCM of 3780 and 3786

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

LCM of:
and

Least Common Multiple of 3780 and 3786

LCM of 3780 and 3786 is 2385180

Least common multiple can be found by multiplying the highest exponent prime factors of 3780 and 3786. First we will calculate the prime factors of 3780 and 3786.

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

Prime Factorization of 3786


2 3786
3 1893
631 631
1

Prime factors of 3786 are 2, 3,631. Prime factorization of 3786 in exponential form is:

3786 = 21×31×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 3780 and 3786.

LCM(3780,3786) = 22×33×51×71×6311
LCM(3780,3786) = 2385180

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

Factors of 3786

List of positive integer factors of 3786 that divides 3786 without a remainder.

1, 2, 3, 6, 631, 1262, 1893, 3786

Least Common Multiple of 3780 and 3786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3780 and 3786, than apply into the LCM equation.

GCF(3780,3786) = 6
LCM(3780,3786) = ( 3780 × 3786) / 6
LCM(3780,3786) = 14311080 / 6
LCM(3780,3786) = 2385180

Properties of LCM 3780 and 3786

(i) The LCM of 3786 and 3780 is associative

LCM of 3780 and 3786 = LCM of 3786 and 3780

Related Least Common Multiples of 3780

Related Least Common Multiples of 3786

Frequently Asked Questions on LCM of 3780 and 3786

1. What is the LCM of 3780 and 3786?

Answer: LCM of 3780 and 3786 is 2385180.

2. 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.

3. What are the Factors of 3786?

Answer: Factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786. There are 8 integers that are factors of 3786. The greatest factor of 3786 is 3786.

4. How to Find the LCM of 3780 and 3786?

Answer:

Least Common Multiple of 3780 and 3786 = 2385180

Step 1: Find the prime factorization of 3780

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

Step 2: Find the prime factorization of 3786

3786 = 2 x 3 x 631

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

LCM = 2385180 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 631

Step 4: Therefore, the least common multiple of 3780 and 3786 is 2385180.