Least Common Multiple of 3772 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 3772 and 3780 the smallest integer that is 3564540 that is divisible by both numbers.

Least Common Multiple (LCM) of 3772 and 3780 is 3564540.

LCM(3772,3780) = 3564540

LCM of 3772 and 3780

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

LCM of:
and

Least Common Multiple of 3772 and 3780

LCM of 3772 and 3780 is 3564540

Least common multiple can be found by multiplying the highest exponent prime factors of 3772 and 3780. First we will calculate the prime factors of 3772 and 3780.

Prime Factorization of 3772


2 3772
2 1886
23 943
41 41
1

Prime factors of 3772 are 2, 23,41. Prime factorization of 3772 in exponential form is:

3772 = 22×231×411

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 3772 and 3780.

LCM(3772,3780) = 22×33×51×71×231×411
LCM(3772,3780) = 3564540

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772

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 3772 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 3772 and 3780, than apply into the LCM equation.

GCF(3772,3780) = 4
LCM(3772,3780) = ( 3772 × 3780) / 4
LCM(3772,3780) = 14258160 / 4
LCM(3772,3780) = 3564540

Properties of LCM 3772 and 3780

(i) The LCM of 3780 and 3772 is associative

LCM of 3772 and 3780 = LCM of 3780 and 3772

Related Least Common Multiples of 3772

Related Least Common Multiples of 3780

Frequently Asked Questions on LCM of 3772 and 3780

1. What is the LCM of 3772 and 3780?

Answer: LCM of 3772 and 3780 is 3564540.

2. What are the Factors of 3772?

Answer: Factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772. There are 12 integers that are factors of 3772. The greatest factor of 3772 is 3772.

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 3772 and 3780?

Answer:

Least Common Multiple of 3772 and 3780 = 3564540

Step 1: Find the prime factorization of 3772

3772 = 2 x 2 x 23 x 41

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 = 3564540 = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 23 x 41

Step 4: Therefore, the least common multiple of 3772 and 3780 is 3564540.