Least Common Multiple of 3788 and 3792

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 3792 the smallest integer that is 3591024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3788 and 3792 is 3591024.

LCM(3788,3792) = 3591024

LCM of 3788 and 3792

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

LCM of:
and

Least Common Multiple of 3788 and 3792

LCM of 3788 and 3792 is 3591024

Least common multiple can be found by multiplying the highest exponent prime factors of 3788 and 3792. First we will calculate the prime factors of 3788 and 3792.

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 3792


2 3792
2 1896
2 948
2 474
3 237
79 79
1

Prime factors of 3792 are 2, 3,79. Prime factorization of 3792 in exponential form is:

3792 = 24×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3788 and 3792.

LCM(3788,3792) = 24×31×791×9471
LCM(3788,3792) = 3591024

Factors of 3788

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

1, 2, 4, 947, 1894, 3788

Factors of 3792

List of positive integer factors of 3792 that divides 3792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792

Least Common Multiple of 3788 and 3792 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 3792, than apply into the LCM equation.

GCF(3788,3792) = 4
LCM(3788,3792) = ( 3788 × 3792) / 4
LCM(3788,3792) = 14364096 / 4
LCM(3788,3792) = 3591024

Properties of LCM 3788 and 3792

(i) The LCM of 3792 and 3788 is associative

LCM of 3788 and 3792 = LCM of 3792 and 3788

Related Least Common Multiples of 3788

Related Least Common Multiples of 3792

Frequently Asked Questions on LCM of 3788 and 3792

1. What is the LCM of 3788 and 3792?

Answer: LCM of 3788 and 3792 is 3591024.

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 3792?

Answer: Factors of 3792 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 79, 158, 237, 316, 474, 632, 948, 1264, 1896, 3792. There are 20 integers that are factors of 3792. The greatest factor of 3792 is 3792.

4. How to Find the LCM of 3788 and 3792?

Answer:

Least Common Multiple of 3788 and 3792 = 3591024

Step 1: Find the prime factorization of 3788

3788 = 2 x 2 x 947

Step 2: Find the prime factorization of 3792

3792 = 2 x 2 x 2 x 2 x 3 x 79

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

LCM = 3591024 = 2 x 2 x 2 x 2 x 3 x 79 x 947

Step 4: Therefore, the least common multiple of 3788 and 3792 is 3591024.