Least Common Multiple of 3792 and 3796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3792 and 3796 the smallest integer that is 3598608 that is divisible by both numbers.

Least Common Multiple (LCM) of 3792 and 3796 is 3598608.

LCM(3792,3796) = 3598608

LCM of 3792 and 3796

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

LCM of:
and

Least Common Multiple of 3792 and 3796

LCM of 3792 and 3796 is 3598608

Least common multiple can be found by multiplying the highest exponent prime factors of 3792 and 3796. First we will calculate the prime factors of 3792 and 3796.

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

Prime Factorization of 3796


2 3796
2 1898
13 949
73 73
1

Prime factors of 3796 are 2, 13,73. Prime factorization of 3796 in exponential form is:

3796 = 22×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3792 and 3796.

LCM(3792,3796) = 24×31×131×731×791
LCM(3792,3796) = 3598608

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

Factors of 3796

List of positive integer factors of 3796 that divides 3796 without a remainder.

1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796

Least Common Multiple of 3792 and 3796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3792 and 3796, than apply into the LCM equation.

GCF(3792,3796) = 4
LCM(3792,3796) = ( 3792 × 3796) / 4
LCM(3792,3796) = 14394432 / 4
LCM(3792,3796) = 3598608

Properties of LCM 3792 and 3796

(i) The LCM of 3796 and 3792 is associative

LCM of 3792 and 3796 = LCM of 3796 and 3792

Related Least Common Multiples of 3792

Related Least Common Multiples of 3796

Frequently Asked Questions on LCM of 3792 and 3796

1. What is the LCM of 3792 and 3796?

Answer: LCM of 3792 and 3796 is 3598608.

2. 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.

3. What are the Factors of 3796?

Answer: Factors of 3796 are 1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796. There are 12 integers that are factors of 3796. The greatest factor of 3796 is 3796.

4. How to Find the LCM of 3792 and 3796?

Answer:

Least Common Multiple of 3792 and 3796 = 3598608

Step 1: Find the prime factorization of 3792

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

Step 2: Find the prime factorization of 3796

3796 = 2 x 2 x 13 x 73

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

LCM = 3598608 = 2 x 2 x 2 x 2 x 3 x 13 x 73 x 79

Step 4: Therefore, the least common multiple of 3792 and 3796 is 3598608.