Least Common Multiple of 3781 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 3781 and 3785 the smallest integer that is 14311085 that is divisible by both numbers.

Least Common Multiple (LCM) of 3781 and 3785 is 14311085.

LCM(3781,3785) = 14311085

LCM of 3781 and 3785

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

LCM of:
and

Least Common Multiple of 3781 and 3785

LCM of 3781 and 3785 is 14311085

Least common multiple can be found by multiplying the highest exponent prime factors of 3781 and 3785. First we will calculate the prime factors of 3781 and 3785.

Prime Factorization of 3781


19 3781
199 199
1

Prime factors of 3781 are 19,199. Prime factorization of 3781 in exponential form is:

3781 = 191×1991

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 3781 and 3785.

LCM(3781,3785) = 51×191×1991×7571
LCM(3781,3785) = 14311085

Factors of 3781

List of positive integer factors of 3781 that divides 3781 without a remainder.

1, 19, 199, 3781

Factors of 3785

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

1, 5, 757, 3785

Least Common Multiple of 3781 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 3781 and 3785, than apply into the LCM equation.

GCF(3781,3785) = 1
LCM(3781,3785) = ( 3781 × 3785) / 1
LCM(3781,3785) = 14311085 / 1
LCM(3781,3785) = 14311085

Properties of LCM 3781 and 3785

(i) The LCM of 3785 and 3781 is associative

LCM of 3781 and 3785 = LCM of 3785 and 3781

Related Least Common Multiples of 3781

Related Least Common Multiples of 3785

Frequently Asked Questions on LCM of 3781 and 3785

1. What is the LCM of 3781 and 3785?

Answer: LCM of 3781 and 3785 is 14311085.

2. What are the Factors of 3781?

Answer: Factors of 3781 are 1, 19, 199, 3781. There are 4 integers that are factors of 3781. The greatest factor of 3781 is 3781.

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 3781 and 3785?

Answer:

Least Common Multiple of 3781 and 3785 = 14311085

Step 1: Find the prime factorization of 3781

3781 = 19 x 199

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 = 14311085 = 5 x 19 x 199 x 757

Step 4: Therefore, the least common multiple of 3781 and 3785 is 14311085.