Least Common Multiple of 3788 and 3793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3788 and 3793 the smallest integer that is 14367884 that is divisible by both numbers.

Least Common Multiple (LCM) of 3788 and 3793 is 14367884.

LCM(3788,3793) = 14367884

LCM of 3788 and 3793

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

LCM of:
and

Least Common Multiple of 3788 and 3793

LCM of 3788 and 3793 is 14367884

Least common multiple can be found by multiplying the highest exponent prime factors of 3788 and 3793. First we will calculate the prime factors of 3788 and 3793.

Prime Factorization of 3788


2 3788
2 1894
947 947
1

Prime factors of 3788 are 2,947. Prime factorization of 3788 in exponential form is:

3788 = 22×9471

Prime Factorization of 3793


3793 3793
1

Prime factors of 3793 are 3793. Prime factorization of 3793 in exponential form is:

3793 = 37931

Now multiplying the highest exponent prime factors to calculate the LCM of 3788 and 3793.

LCM(3788,3793) = 22×9471×37931
LCM(3788,3793) = 14367884

Factors of 3788

List of positive integer factors of 3788 that divides 3788 without a remainder.

1, 2, 4, 947, 1894, 3788

Factors of 3793

List of positive integer factors of 3793 that divides 3793 without a remainder.

1, 3793

Least Common Multiple of 3788 and 3793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3788 and 3793, than apply into the LCM equation.

GCF(3788,3793) = 1
LCM(3788,3793) = ( 3788 × 3793) / 1
LCM(3788,3793) = 14367884 / 1
LCM(3788,3793) = 14367884

Properties of LCM 3788 and 3793

(i) The LCM of 3793 and 3788 is associative

LCM of 3788 and 3793 = LCM of 3793 and 3788

Related Least Common Multiples of 3788

Related Least Common Multiples of 3793

Frequently Asked Questions on LCM of 3788 and 3793

1. What is the LCM of 3788 and 3793?

Answer: LCM of 3788 and 3793 is 14367884.

2. What are the Factors of 3788?

Answer: Factors of 3788 are 1, 2, 4, 947, 1894, 3788. There are 6 integers that are factors of 3788. The greatest factor of 3788 is 3788.

3. What are the Factors of 3793?

Answer: Factors of 3793 are 1, 3793. There are 2 integers that are factors of 3793. The greatest factor of 3793 is 3793.

4. How to Find the LCM of 3788 and 3793?

Answer:

Least Common Multiple of 3788 and 3793 = 14367884

Step 1: Find the prime factorization of 3788

3788 = 2 x 2 x 947

Step 2: Find the prime factorization of 3793

3793 = 3793

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

LCM = 14367884 = 2 x 2 x 947 x 3793

Step 4: Therefore, the least common multiple of 3788 and 3793 is 14367884.