Least Common Multiple of 3780 and 3787

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 3787 the smallest integer that is 2044980 that is divisible by both numbers.

Least Common Multiple (LCM) of 3780 and 3787 is 2044980.

LCM(3780,3787) = 2044980

LCM of 3780 and 3787

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

LCM of:
and

Least Common Multiple of 3780 and 3787

LCM of 3780 and 3787 is 2044980

Least common multiple can be found by multiplying the highest exponent prime factors of 3780 and 3787. First we will calculate the prime factors of 3780 and 3787.

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 3787


7 3787
541 541
1

Prime factors of 3787 are 7,541. Prime factorization of 3787 in exponential form is:

3787 = 71×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 3780 and 3787.

LCM(3780,3787) = 22×33×51×71×5411
LCM(3780,3787) = 2044980

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 3787

List of positive integer factors of 3787 that divides 3787 without a remainder.

1, 7, 541, 3787

Least Common Multiple of 3780 and 3787 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 3787, than apply into the LCM equation.

GCF(3780,3787) = 7
LCM(3780,3787) = ( 3780 × 3787) / 7
LCM(3780,3787) = 14314860 / 7
LCM(3780,3787) = 2044980

Properties of LCM 3780 and 3787

(i) The LCM of 3787 and 3780 is associative

LCM of 3780 and 3787 = LCM of 3787 and 3780

Related Least Common Multiples of 3780

Related Least Common Multiples of 3787

Frequently Asked Questions on LCM of 3780 and 3787

1. What is the LCM of 3780 and 3787?

Answer: LCM of 3780 and 3787 is 2044980.

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 3787?

Answer: Factors of 3787 are 1, 7, 541, 3787. There are 4 integers that are factors of 3787. The greatest factor of 3787 is 3787.

4. How to Find the LCM of 3780 and 3787?

Answer:

Least Common Multiple of 3780 and 3787 = 2044980

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 3787

3787 = 7 x 541

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

LCM = 2044980 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 541

Step 4: Therefore, the least common multiple of 3780 and 3787 is 2044980.