Least Common Multiple of 3852 and 3856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3852 and 3856 the smallest integer that is 3713328 that is divisible by both numbers.

Least Common Multiple (LCM) of 3852 and 3856 is 3713328.

LCM(3852,3856) = 3713328

LCM of 3852 and 3856

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

LCM of:
and

Least Common Multiple of 3852 and 3856

LCM of 3852 and 3856 is 3713328

Least common multiple can be found by multiplying the highest exponent prime factors of 3852 and 3856. First we will calculate the prime factors of 3852 and 3856.

Prime Factorization of 3852


2 3852
2 1926
3 963
3 321
107 107
1

Prime factors of 3852 are 2, 3,107. Prime factorization of 3852 in exponential form is:

3852 = 22×32×1071

Prime Factorization of 3856


2 3856
2 1928
2 964
2 482
241 241
1

Prime factors of 3856 are 2,241. Prime factorization of 3856 in exponential form is:

3856 = 24×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 3852 and 3856.

LCM(3852,3856) = 24×32×1071×2411
LCM(3852,3856) = 3713328

Factors of 3852

List of positive integer factors of 3852 that divides 3852 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852

Factors of 3856

List of positive integer factors of 3856 that divides 3856 without a remainder.

1, 2, 4, 8, 16, 241, 482, 964, 1928, 3856

Least Common Multiple of 3852 and 3856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3852 and 3856, than apply into the LCM equation.

GCF(3852,3856) = 4
LCM(3852,3856) = ( 3852 × 3856) / 4
LCM(3852,3856) = 14853312 / 4
LCM(3852,3856) = 3713328

Properties of LCM 3852 and 3856

(i) The LCM of 3856 and 3852 is associative

LCM of 3852 and 3856 = LCM of 3856 and 3852

Related Least Common Multiples of 3852

Related Least Common Multiples of 3856

Frequently Asked Questions on LCM of 3852 and 3856

1. What is the LCM of 3852 and 3856?

Answer: LCM of 3852 and 3856 is 3713328.

2. What are the Factors of 3852?

Answer: Factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852. There are 18 integers that are factors of 3852. The greatest factor of 3852 is 3852.

3. What are the Factors of 3856?

Answer: Factors of 3856 are 1, 2, 4, 8, 16, 241, 482, 964, 1928, 3856. There are 10 integers that are factors of 3856. The greatest factor of 3856 is 3856.

4. How to Find the LCM of 3852 and 3856?

Answer:

Least Common Multiple of 3852 and 3856 = 3713328

Step 1: Find the prime factorization of 3852

3852 = 2 x 2 x 3 x 3 x 107

Step 2: Find the prime factorization of 3856

3856 = 2 x 2 x 2 x 2 x 241

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

LCM = 3713328 = 2 x 2 x 2 x 2 x 3 x 3 x 107 x 241

Step 4: Therefore, the least common multiple of 3852 and 3856 is 3713328.