Least Common Multiple of 3779 and 3785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3779 and 3785 the smallest integer that is 14303515 that is divisible by both numbers.

Least Common Multiple (LCM) of 3779 and 3785 is 14303515.

LCM(3779,3785) = 14303515

LCM of 3779 and 3785

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

LCM of:
and

Least Common Multiple of 3779 and 3785

LCM of 3779 and 3785 is 14303515

Least common multiple can be found by multiplying the highest exponent prime factors of 3779 and 3785. First we will calculate the prime factors of 3779 and 3785.

Prime Factorization of 3779


3779 3779
1

Prime factors of 3779 are 3779. Prime factorization of 3779 in exponential form is:

3779 = 37791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3779 and 3785.

LCM(3779,3785) = 51×7571×37791
LCM(3779,3785) = 14303515

Factors of 3779

List of positive integer factors of 3779 that divides 3779 without a remainder.

1, 3779

Factors of 3785

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

1, 5, 757, 3785

Least Common Multiple of 3779 and 3785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3779 and 3785, than apply into the LCM equation.

GCF(3779,3785) = 1
LCM(3779,3785) = ( 3779 × 3785) / 1
LCM(3779,3785) = 14303515 / 1
LCM(3779,3785) = 14303515

Properties of LCM 3779 and 3785

(i) The LCM of 3785 and 3779 is associative

LCM of 3779 and 3785 = LCM of 3785 and 3779

Related Least Common Multiples of 3779

Related Least Common Multiples of 3785

Frequently Asked Questions on LCM of 3779 and 3785

1. What is the LCM of 3779 and 3785?

Answer: LCM of 3779 and 3785 is 14303515.

2. What are the Factors of 3779?

Answer: Factors of 3779 are 1, 3779. There are 2 integers that are factors of 3779. The greatest factor of 3779 is 3779.

3. 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.

4. How to Find the LCM of 3779 and 3785?

Answer:

Least Common Multiple of 3779 and 3785 = 14303515

Step 1: Find the prime factorization of 3779

3779 = 3779

Step 2: Find the prime factorization of 3785

3785 = 5 x 757

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

LCM = 14303515 = 5 x 757 x 3779

Step 4: Therefore, the least common multiple of 3779 and 3785 is 14303515.