Least Common Multiple of 3779 and 3783

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 3783 the smallest integer that is 14295957 that is divisible by both numbers.

Least Common Multiple (LCM) of 3779 and 3783 is 14295957.

LCM(3779,3783) = 14295957

LCM of 3779 and 3783

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

LCM of:
and

Least Common Multiple of 3779 and 3783

LCM of 3779 and 3783 is 14295957

Least common multiple can be found by multiplying the highest exponent prime factors of 3779 and 3783. First we will calculate the prime factors of 3779 and 3783.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3779 and 3783.

LCM(3779,3783) = 31×131×971×37791
LCM(3779,3783) = 14295957

Factors of 3779

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

1, 3779

Factors of 3783

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

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

Least Common Multiple of 3779 and 3783 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 3783, than apply into the LCM equation.

GCF(3779,3783) = 1
LCM(3779,3783) = ( 3779 × 3783) / 1
LCM(3779,3783) = 14295957 / 1
LCM(3779,3783) = 14295957

Properties of LCM 3779 and 3783

(i) The LCM of 3783 and 3779 is associative

LCM of 3779 and 3783 = LCM of 3783 and 3779

Related Least Common Multiples of 3779

Related Least Common Multiples of 3783

Frequently Asked Questions on LCM of 3779 and 3783

1. What is the LCM of 3779 and 3783?

Answer: LCM of 3779 and 3783 is 14295957.

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 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.

4. How to Find the LCM of 3779 and 3783?

Answer:

Least Common Multiple of 3779 and 3783 = 14295957

Step 1: Find the prime factorization of 3779

3779 = 3779

Step 2: Find the prime factorization of 3783

3783 = 3 x 13 x 97

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

LCM = 14295957 = 3 x 13 x 97 x 3779

Step 4: Therefore, the least common multiple of 3779 and 3783 is 14295957.