Least Common Multiple of 3783 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 3783 and 3785 the smallest integer that is 14318655 that is divisible by both numbers.

Least Common Multiple (LCM) of 3783 and 3785 is 14318655.

LCM(3783,3785) = 14318655

LCM of 3783 and 3785

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

LCM of:
and

Least Common Multiple of 3783 and 3785

LCM of 3783 and 3785 is 14318655

Least common multiple can be found by multiplying the highest exponent prime factors of 3783 and 3785. First we will calculate the prime factors of 3783 and 3785.

Prime Factorization of 3783


3 3783
13 1261
97 97
1

Prime factors of 3783 are 3, 13,97. Prime factorization of 3783 in exponential form is:

3783 = 31×131×971

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 3783 and 3785.

LCM(3783,3785) = 31×51×131×971×7571
LCM(3783,3785) = 14318655

Factors of 3783

List of positive integer factors of 3783 that divides 3783 without a remainder.

1, 3, 13, 39, 97, 291, 1261, 3783

Factors of 3785

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

1, 5, 757, 3785

Least Common Multiple of 3783 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 3783 and 3785, than apply into the LCM equation.

GCF(3783,3785) = 1
LCM(3783,3785) = ( 3783 × 3785) / 1
LCM(3783,3785) = 14318655 / 1
LCM(3783,3785) = 14318655

Properties of LCM 3783 and 3785

(i) The LCM of 3785 and 3783 is associative

LCM of 3783 and 3785 = LCM of 3785 and 3783

Frequently Asked Questions on LCM of 3783 and 3785

1. What is the LCM of 3783 and 3785?

Answer: LCM of 3783 and 3785 is 14318655.

2. What are the Factors of 3783?

Answer: Factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783. There are 8 integers that are factors of 3783. The greatest factor of 3783 is 3783.

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 3783 and 3785?

Answer:

Least Common Multiple of 3783 and 3785 = 14318655

Step 1: Find the prime factorization of 3783

3783 = 3 x 13 x 97

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 = 14318655 = 3 x 5 x 13 x 97 x 757

Step 4: Therefore, the least common multiple of 3783 and 3785 is 14318655.