Least Common Multiple of 3783 and 3788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3783 and 3788 the smallest integer that is 14330004 that is divisible by both numbers.

Least Common Multiple (LCM) of 3783 and 3788 is 14330004.

LCM(3783,3788) = 14330004

LCM of 3783 and 3788

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

LCM of:
and

Least Common Multiple of 3783 and 3788

LCM of 3783 and 3788 is 14330004

Least common multiple can be found by multiplying the highest exponent prime factors of 3783 and 3788. First we will calculate the prime factors of 3783 and 3788.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3783 and 3788.

LCM(3783,3788) = 22×31×131×971×9471
LCM(3783,3788) = 14330004

Factors of 3783

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

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

Factors of 3788

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

1, 2, 4, 947, 1894, 3788

Least Common Multiple of 3783 and 3788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3783 and 3788, than apply into the LCM equation.

GCF(3783,3788) = 1
LCM(3783,3788) = ( 3783 × 3788) / 1
LCM(3783,3788) = 14330004 / 1
LCM(3783,3788) = 14330004

Properties of LCM 3783 and 3788

(i) The LCM of 3788 and 3783 is associative

LCM of 3783 and 3788 = LCM of 3788 and 3783

Related Least Common Multiples of 3783

Related Least Common Multiples of 3788

Frequently Asked Questions on LCM of 3783 and 3788

1. What is the LCM of 3783 and 3788?

Answer: LCM of 3783 and 3788 is 14330004.

2. 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.

3. 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.

4. How to Find the LCM of 3783 and 3788?

Answer:

Least Common Multiple of 3783 and 3788 = 14330004

Step 1: Find the prime factorization of 3783

3783 = 3 x 13 x 97

Step 2: Find the prime factorization of 3788

3788 = 2 x 2 x 947

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

LCM = 14330004 = 2 x 2 x 3 x 13 x 97 x 947

Step 4: Therefore, the least common multiple of 3783 and 3788 is 14330004.