Least Common Multiple of 3779 and 3787

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 3787 the smallest integer that is 14311073 that is divisible by both numbers.

Least Common Multiple (LCM) of 3779 and 3787 is 14311073.

LCM(3779,3787) = 14311073

LCM of 3779 and 3787

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

LCM of:
and

Least Common Multiple of 3779 and 3787

LCM of 3779 and 3787 is 14311073

Least common multiple can be found by multiplying the highest exponent prime factors of 3779 and 3787. First we will calculate the prime factors of 3779 and 3787.

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 3787


7 3787
541 541
1

Prime factors of 3787 are 7,541. Prime factorization of 3787 in exponential form is:

3787 = 71×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 3779 and 3787.

LCM(3779,3787) = 71×5411×37791
LCM(3779,3787) = 14311073

Factors of 3779

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

1, 3779

Factors of 3787

List of positive integer factors of 3787 that divides 3787 without a remainder.

1, 7, 541, 3787

Least Common Multiple of 3779 and 3787 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 3787, than apply into the LCM equation.

GCF(3779,3787) = 1
LCM(3779,3787) = ( 3779 × 3787) / 1
LCM(3779,3787) = 14311073 / 1
LCM(3779,3787) = 14311073

Properties of LCM 3779 and 3787

(i) The LCM of 3787 and 3779 is associative

LCM of 3779 and 3787 = LCM of 3787 and 3779

Related Least Common Multiples of 3779

Related Least Common Multiples of 3787

Frequently Asked Questions on LCM of 3779 and 3787

1. What is the LCM of 3779 and 3787?

Answer: LCM of 3779 and 3787 is 14311073.

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 3787?

Answer: Factors of 3787 are 1, 7, 541, 3787. There are 4 integers that are factors of 3787. The greatest factor of 3787 is 3787.

4. How to Find the LCM of 3779 and 3787?

Answer:

Least Common Multiple of 3779 and 3787 = 14311073

Step 1: Find the prime factorization of 3779

3779 = 3779

Step 2: Find the prime factorization of 3787

3787 = 7 x 541

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

LCM = 14311073 = 7 x 541 x 3779

Step 4: Therefore, the least common multiple of 3779 and 3787 is 14311073.