Least Common Multiple of 3792 and 3797

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 3797 the smallest integer that is 14398224 that is divisible by both numbers.

Least Common Multiple (LCM) of 3792 and 3797 is 14398224.

LCM(3792,3797) = 14398224

LCM of 3792 and 3797

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

LCM of:
and

Least Common Multiple of 3792 and 3797

LCM of 3792 and 3797 is 14398224

Least common multiple can be found by multiplying the highest exponent prime factors of 3792 and 3797. First we will calculate the prime factors of 3792 and 3797.

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 3797


3797 3797
1

Prime factors of 3797 are 3797. Prime factorization of 3797 in exponential form is:

3797 = 37971

Now multiplying the highest exponent prime factors to calculate the LCM of 3792 and 3797.

LCM(3792,3797) = 24×31×791×37971
LCM(3792,3797) = 14398224

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 3797

List of positive integer factors of 3797 that divides 3797 without a remainder.

1, 3797

Least Common Multiple of 3792 and 3797 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 3797, than apply into the LCM equation.

GCF(3792,3797) = 1
LCM(3792,3797) = ( 3792 × 3797) / 1
LCM(3792,3797) = 14398224 / 1
LCM(3792,3797) = 14398224

Properties of LCM 3792 and 3797

(i) The LCM of 3797 and 3792 is associative

LCM of 3792 and 3797 = LCM of 3797 and 3792

Related Least Common Multiples of 3792

Related Least Common Multiples of 3797

Frequently Asked Questions on LCM of 3792 and 3797

1. What is the LCM of 3792 and 3797?

Answer: LCM of 3792 and 3797 is 14398224.

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 3797?

Answer: Factors of 3797 are 1, 3797. There are 2 integers that are factors of 3797. The greatest factor of 3797 is 3797.

4. How to Find the LCM of 3792 and 3797?

Answer:

Least Common Multiple of 3792 and 3797 = 14398224

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 3797

3797 = 3797

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

LCM = 14398224 = 2 x 2 x 2 x 2 x 3 x 79 x 3797

Step 4: Therefore, the least common multiple of 3792 and 3797 is 14398224.