Least Common Multiple of 3775 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 3775 and 3780 the smallest integer that is 2853900 that is divisible by both numbers.

Least Common Multiple (LCM) of 3775 and 3780 is 2853900.

LCM(3775,3780) = 2853900

LCM of 3775 and 3780

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

LCM of:
and

Least Common Multiple of 3775 and 3780

LCM of 3775 and 3780 is 2853900

Least common multiple can be found by multiplying the highest exponent prime factors of 3775 and 3780. First we will calculate the prime factors of 3775 and 3780.

Prime Factorization of 3775


5 3775
5 755
151 151
1

Prime factors of 3775 are 5,151. Prime factorization of 3775 in exponential form is:

3775 = 52×1511

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 3775 and 3780.

LCM(3775,3780) = 22×33×52×71×1511
LCM(3775,3780) = 2853900

Factors of 3775

List of positive integer factors of 3775 that divides 3775 without a remainder.

1, 5, 25, 151, 755, 3775

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 3775 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 3775 and 3780, than apply into the LCM equation.

GCF(3775,3780) = 5
LCM(3775,3780) = ( 3775 × 3780) / 5
LCM(3775,3780) = 14269500 / 5
LCM(3775,3780) = 2853900

Properties of LCM 3775 and 3780

(i) The LCM of 3780 and 3775 is associative

LCM of 3775 and 3780 = LCM of 3780 and 3775

Related Least Common Multiples of 3775

Related Least Common Multiples of 3780

Frequently Asked Questions on LCM of 3775 and 3780

1. What is the LCM of 3775 and 3780?

Answer: LCM of 3775 and 3780 is 2853900.

2. What are the Factors of 3775?

Answer: Factors of 3775 are 1, 5, 25, 151, 755, 3775. There are 6 integers that are factors of 3775. The greatest factor of 3775 is 3775.

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 3775 and 3780?

Answer:

Least Common Multiple of 3775 and 3780 = 2853900

Step 1: Find the prime factorization of 3775

3775 = 5 x 5 x 151

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 = 2853900 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 151

Step 4: Therefore, the least common multiple of 3775 and 3780 is 2853900.