Least Common Multiple of 3782 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 3782 and 3788 the smallest integer that is 7163108 that is divisible by both numbers.

Least Common Multiple (LCM) of 3782 and 3788 is 7163108.

LCM(3782,3788) = 7163108

LCM of 3782 and 3788

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

LCM of:
and

Least Common Multiple of 3782 and 3788

LCM of 3782 and 3788 is 7163108

Least common multiple can be found by multiplying the highest exponent prime factors of 3782 and 3788. First we will calculate the prime factors of 3782 and 3788.

Prime Factorization of 3782


2 3782
31 1891
61 61
1

Prime factors of 3782 are 2, 31,61. Prime factorization of 3782 in exponential form is:

3782 = 21×311×611

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 3782 and 3788.

LCM(3782,3788) = 22×311×611×9471
LCM(3782,3788) = 7163108

Factors of 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1, 2, 31, 61, 62, 122, 1891, 3782

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 3782 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 3782 and 3788, than apply into the LCM equation.

GCF(3782,3788) = 2
LCM(3782,3788) = ( 3782 × 3788) / 2
LCM(3782,3788) = 14326216 / 2
LCM(3782,3788) = 7163108

Properties of LCM 3782 and 3788

(i) The LCM of 3788 and 3782 is associative

LCM of 3782 and 3788 = LCM of 3788 and 3782

Related Least Common Multiples of 3782

Related Least Common Multiples of 3788

Frequently Asked Questions on LCM of 3782 and 3788

1. What is the LCM of 3782 and 3788?

Answer: LCM of 3782 and 3788 is 7163108.

2. What are the Factors of 3782?

Answer: Factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782. There are 8 integers that are factors of 3782. The greatest factor of 3782 is 3782.

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 3782 and 3788?

Answer:

Least Common Multiple of 3782 and 3788 = 7163108

Step 1: Find the prime factorization of 3782

3782 = 2 x 31 x 61

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 = 7163108 = 2 x 2 x 31 x 61 x 947

Step 4: Therefore, the least common multiple of 3782 and 3788 is 7163108.