Least Common Multiple of 3785 and 3789

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 3789 the smallest integer that is 14341365 that is divisible by both numbers.

Least Common Multiple (LCM) of 3785 and 3789 is 14341365.

LCM(3785,3789) = 14341365

LCM of 3785 and 3789

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

LCM of:
and

Least Common Multiple of 3785 and 3789

LCM of 3785 and 3789 is 14341365

Least common multiple can be found by multiplying the highest exponent prime factors of 3785 and 3789. First we will calculate the prime factors of 3785 and 3789.

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 3789


3 3789
3 1263
421 421
1

Prime factors of 3789 are 3,421. Prime factorization of 3789 in exponential form is:

3789 = 32×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 3785 and 3789.

LCM(3785,3789) = 32×51×4211×7571
LCM(3785,3789) = 14341365

Factors of 3785

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

1, 5, 757, 3785

Factors of 3789

List of positive integer factors of 3789 that divides 3789 without a remainder.

1, 3, 9, 421, 1263, 3789

Least Common Multiple of 3785 and 3789 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 3789, than apply into the LCM equation.

GCF(3785,3789) = 1
LCM(3785,3789) = ( 3785 × 3789) / 1
LCM(3785,3789) = 14341365 / 1
LCM(3785,3789) = 14341365

Properties of LCM 3785 and 3789

(i) The LCM of 3789 and 3785 is associative

LCM of 3785 and 3789 = LCM of 3789 and 3785

Related Least Common Multiples of 3785

Related Least Common Multiples of 3789

Frequently Asked Questions on LCM of 3785 and 3789

1. What is the LCM of 3785 and 3789?

Answer: LCM of 3785 and 3789 is 14341365.

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 3789?

Answer: Factors of 3789 are 1, 3, 9, 421, 1263, 3789. There are 6 integers that are factors of 3789. The greatest factor of 3789 is 3789.

4. How to Find the LCM of 3785 and 3789?

Answer:

Least Common Multiple of 3785 and 3789 = 14341365

Step 1: Find the prime factorization of 3785

3785 = 5 x 757

Step 2: Find the prime factorization of 3789

3789 = 3 x 3 x 421

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

LCM = 14341365 = 3 x 3 x 5 x 421 x 757

Step 4: Therefore, the least common multiple of 3785 and 3789 is 14341365.