Least Common Multiple of 3772 and 3779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3772 and 3779 the smallest integer that is 14254388 that is divisible by both numbers.

Least Common Multiple (LCM) of 3772 and 3779 is 14254388.

LCM(3772,3779) = 14254388

LCM of 3772 and 3779

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

LCM of:
and

Least Common Multiple of 3772 and 3779

LCM of 3772 and 3779 is 14254388

Least common multiple can be found by multiplying the highest exponent prime factors of 3772 and 3779. First we will calculate the prime factors of 3772 and 3779.

Prime Factorization of 3772


2 3772
2 1886
23 943
41 41
1

Prime factors of 3772 are 2, 23,41. Prime factorization of 3772 in exponential form is:

3772 = 22×231×411

Prime Factorization of 3779


3779 3779
1

Prime factors of 3779 are 3779. Prime factorization of 3779 in exponential form is:

3779 = 37791

Now multiplying the highest exponent prime factors to calculate the LCM of 3772 and 3779.

LCM(3772,3779) = 22×231×411×37791
LCM(3772,3779) = 14254388

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772

Factors of 3779

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

1, 3779

Least Common Multiple of 3772 and 3779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3772 and 3779, than apply into the LCM equation.

GCF(3772,3779) = 1
LCM(3772,3779) = ( 3772 × 3779) / 1
LCM(3772,3779) = 14254388 / 1
LCM(3772,3779) = 14254388

Properties of LCM 3772 and 3779

(i) The LCM of 3779 and 3772 is associative

LCM of 3772 and 3779 = LCM of 3779 and 3772

Related Least Common Multiples of 3772

Related Least Common Multiples of 3779

Frequently Asked Questions on LCM of 3772 and 3779

1. What is the LCM of 3772 and 3779?

Answer: LCM of 3772 and 3779 is 14254388.

2. What are the Factors of 3772?

Answer: Factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772. There are 12 integers that are factors of 3772. The greatest factor of 3772 is 3772.

3. 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.

4. How to Find the LCM of 3772 and 3779?

Answer:

Least Common Multiple of 3772 and 3779 = 14254388

Step 1: Find the prime factorization of 3772

3772 = 2 x 2 x 23 x 41

Step 2: Find the prime factorization of 3779

3779 = 3779

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

LCM = 14254388 = 2 x 2 x 23 x 41 x 3779

Step 4: Therefore, the least common multiple of 3772 and 3779 is 14254388.