Least Common Multiple of 3792 and 3799

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 3799 the smallest integer that is 14405808 that is divisible by both numbers.

Least Common Multiple (LCM) of 3792 and 3799 is 14405808.

LCM(3792,3799) = 14405808

LCM of 3792 and 3799

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

LCM of:
and

Least Common Multiple of 3792 and 3799

LCM of 3792 and 3799 is 14405808

Least common multiple can be found by multiplying the highest exponent prime factors of 3792 and 3799. First we will calculate the prime factors of 3792 and 3799.

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 3799


29 3799
131 131
1

Prime factors of 3799 are 29,131. Prime factorization of 3799 in exponential form is:

3799 = 291×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3792 and 3799.

LCM(3792,3799) = 24×31×291×791×1311
LCM(3792,3799) = 14405808

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 3799

List of positive integer factors of 3799 that divides 3799 without a remainder.

1, 29, 131, 3799

Least Common Multiple of 3792 and 3799 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 3799, than apply into the LCM equation.

GCF(3792,3799) = 1
LCM(3792,3799) = ( 3792 × 3799) / 1
LCM(3792,3799) = 14405808 / 1
LCM(3792,3799) = 14405808

Properties of LCM 3792 and 3799

(i) The LCM of 3799 and 3792 is associative

LCM of 3792 and 3799 = LCM of 3799 and 3792

Related Least Common Multiples of 3792

Related Least Common Multiples of 3799

Frequently Asked Questions on LCM of 3792 and 3799

1. What is the LCM of 3792 and 3799?

Answer: LCM of 3792 and 3799 is 14405808.

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 3799?

Answer: Factors of 3799 are 1, 29, 131, 3799. There are 4 integers that are factors of 3799. The greatest factor of 3799 is 3799.

4. How to Find the LCM of 3792 and 3799?

Answer:

Least Common Multiple of 3792 and 3799 = 14405808

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 3799

3799 = 29 x 131

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

LCM = 14405808 = 2 x 2 x 2 x 2 x 3 x 29 x 79 x 131

Step 4: Therefore, the least common multiple of 3792 and 3799 is 14405808.