Least Common Multiple of 3848 and 3852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3848 and 3852 the smallest integer that is 3705624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3848 and 3852 is 3705624.

LCM(3848,3852) = 3705624

LCM of 3848 and 3852

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

LCM of:
and

Least Common Multiple of 3848 and 3852

LCM of 3848 and 3852 is 3705624

Least common multiple can be found by multiplying the highest exponent prime factors of 3848 and 3852. First we will calculate the prime factors of 3848 and 3852.

Prime Factorization of 3848


2 3848
2 1924
2 962
13 481
37 37
1

Prime factors of 3848 are 2, 13,37. Prime factorization of 3848 in exponential form is:

3848 = 23×131×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3848 and 3852.

LCM(3848,3852) = 23×32×131×371×1071
LCM(3848,3852) = 3705624

Factors of 3848

List of positive integer factors of 3848 that divides 3848 without a remainder.

1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848

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

Least Common Multiple of 3848 and 3852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3848 and 3852, than apply into the LCM equation.

GCF(3848,3852) = 4
LCM(3848,3852) = ( 3848 × 3852) / 4
LCM(3848,3852) = 14822496 / 4
LCM(3848,3852) = 3705624

Properties of LCM 3848 and 3852

(i) The LCM of 3852 and 3848 is associative

LCM of 3848 and 3852 = LCM of 3852 and 3848

Related Least Common Multiples of 3848

Related Least Common Multiples of 3852

Frequently Asked Questions on LCM of 3848 and 3852

1. What is the LCM of 3848 and 3852?

Answer: LCM of 3848 and 3852 is 3705624.

2. What are the Factors of 3848?

Answer: Factors of 3848 are 1, 2, 4, 8, 13, 26, 37, 52, 74, 104, 148, 296, 481, 962, 1924, 3848. There are 16 integers that are factors of 3848. The greatest factor of 3848 is 3848.

3. 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.

4. How to Find the LCM of 3848 and 3852?

Answer:

Least Common Multiple of 3848 and 3852 = 3705624

Step 1: Find the prime factorization of 3848

3848 = 2 x 2 x 2 x 13 x 37

Step 2: Find the prime factorization of 3852

3852 = 2 x 2 x 3 x 3 x 107

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

LCM = 3705624 = 2 x 2 x 2 x 3 x 3 x 13 x 37 x 107

Step 4: Therefore, the least common multiple of 3848 and 3852 is 3705624.