Least Common Multiple of 3785 and 3790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3785 and 3790 the smallest integer that is 2869030 that is divisible by both numbers.

Least Common Multiple (LCM) of 3785 and 3790 is 2869030.

LCM(3785,3790) = 2869030

LCM of 3785 and 3790

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

LCM of:
and

Least Common Multiple of 3785 and 3790

LCM of 3785 and 3790 is 2869030

Least common multiple can be found by multiplying the highest exponent prime factors of 3785 and 3790. First we will calculate the prime factors of 3785 and 3790.

Prime Factorization of 3785


5 3785
757 757
1

Prime factors of 3785 are 5,757. Prime factorization of 3785 in exponential form is:

3785 = 51×7571

Prime Factorization of 3790


2 3790
5 1895
379 379
1

Prime factors of 3790 are 2, 5,379. Prime factorization of 3790 in exponential form is:

3790 = 21×51×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 3785 and 3790.

LCM(3785,3790) = 21×51×3791×7571
LCM(3785,3790) = 2869030

Factors of 3785

List of positive integer factors of 3785 that divides 3785 without a remainder.

1, 5, 757, 3785

Factors of 3790

List of positive integer factors of 3790 that divides 3790 without a remainder.

1, 2, 5, 10, 379, 758, 1895, 3790

Least Common Multiple of 3785 and 3790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3785 and 3790, than apply into the LCM equation.

GCF(3785,3790) = 5
LCM(3785,3790) = ( 3785 × 3790) / 5
LCM(3785,3790) = 14345150 / 5
LCM(3785,3790) = 2869030

Properties of LCM 3785 and 3790

(i) The LCM of 3790 and 3785 is associative

LCM of 3785 and 3790 = LCM of 3790 and 3785

Related Least Common Multiples of 3785

Related Least Common Multiples of 3790

Frequently Asked Questions on LCM of 3785 and 3790

1. What is the LCM of 3785 and 3790?

Answer: LCM of 3785 and 3790 is 2869030.

2. What are the Factors of 3785?

Answer: Factors of 3785 are 1, 5, 757, 3785. There are 4 integers that are factors of 3785. The greatest factor of 3785 is 3785.

3. What are the Factors of 3790?

Answer: Factors of 3790 are 1, 2, 5, 10, 379, 758, 1895, 3790. There are 8 integers that are factors of 3790. The greatest factor of 3790 is 3790.

4. How to Find the LCM of 3785 and 3790?

Answer:

Least Common Multiple of 3785 and 3790 = 2869030

Step 1: Find the prime factorization of 3785

3785 = 5 x 757

Step 2: Find the prime factorization of 3790

3790 = 2 x 5 x 379

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

LCM = 2869030 = 2 x 5 x 379 x 757

Step 4: Therefore, the least common multiple of 3785 and 3790 is 2869030.