Least Common Multiple of 3784 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 3784 and 3792 the smallest integer that is 1793616 that is divisible by both numbers.

Least Common Multiple (LCM) of 3784 and 3792 is 1793616.

LCM(3784,3792) = 1793616

LCM of 3784 and 3792

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

LCM of:
and

Least Common Multiple of 3784 and 3792

LCM of 3784 and 3792 is 1793616

Least common multiple can be found by multiplying the highest exponent prime factors of 3784 and 3792. First we will calculate the prime factors of 3784 and 3792.

Prime Factorization of 3784


2 3784
2 1892
2 946
11 473
43 43
1

Prime factors of 3784 are 2, 11,43. Prime factorization of 3784 in exponential form is:

3784 = 23×111×431

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 3784 and 3792.

LCM(3784,3792) = 24×31×111×431×791
LCM(3784,3792) = 1793616

Factors of 3784

List of positive integer factors of 3784 that divides 3784 without a remainder.

1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784

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 3784 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 3784 and 3792, than apply into the LCM equation.

GCF(3784,3792) = 8
LCM(3784,3792) = ( 3784 × 3792) / 8
LCM(3784,3792) = 14348928 / 8
LCM(3784,3792) = 1793616

Properties of LCM 3784 and 3792

(i) The LCM of 3792 and 3784 is associative

LCM of 3784 and 3792 = LCM of 3792 and 3784

Related Least Common Multiples of 3784

Related Least Common Multiples of 3792

Frequently Asked Questions on LCM of 3784 and 3792

1. What is the LCM of 3784 and 3792?

Answer: LCM of 3784 and 3792 is 1793616.

2. What are the Factors of 3784?

Answer: Factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784. There are 16 integers that are factors of 3784. The greatest factor of 3784 is 3784.

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 3784 and 3792?

Answer:

Least Common Multiple of 3784 and 3792 = 1793616

Step 1: Find the prime factorization of 3784

3784 = 2 x 2 x 2 x 11 x 43

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 = 1793616 = 2 x 2 x 2 x 2 x 3 x 11 x 43 x 79

Step 4: Therefore, the least common multiple of 3784 and 3792 is 1793616.