Least Common Multiple of 6848 and 6852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6848 and 6852 the smallest integer that is 11730624 that is divisible by both numbers.

Least Common Multiple (LCM) of 6848 and 6852 is 11730624.

LCM(6848,6852) = 11730624

LCM of 6848 and 6852

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

LCM of:
and

Least Common Multiple of 6848 and 6852

LCM of 6848 and 6852 is 11730624

Least common multiple can be found by multiplying the highest exponent prime factors of 6848 and 6852. First we will calculate the prime factors of 6848 and 6852.

Prime Factorization of 6848


2 6848
2 3424
2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 6848 are 2,107. Prime factorization of 6848 in exponential form is:

6848 = 26×1071

Prime Factorization of 6852


2 6852
2 3426
3 1713
571 571
1

Prime factors of 6852 are 2, 3,571. Prime factorization of 6852 in exponential form is:

6852 = 22×31×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 6848 and 6852.

LCM(6848,6852) = 26×31×1071×5711
LCM(6848,6852) = 11730624

Factors of 6848

List of positive integer factors of 6848 that divides 6848 without a remainder.

1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848

Factors of 6852

List of positive integer factors of 6852 that divides 6852 without a remainder.

1, 2, 3, 4, 6, 12, 571, 1142, 1713, 2284, 3426, 6852

Least Common Multiple of 6848 and 6852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6848 and 6852, than apply into the LCM equation.

GCF(6848,6852) = 4
LCM(6848,6852) = ( 6848 × 6852) / 4
LCM(6848,6852) = 46922496 / 4
LCM(6848,6852) = 11730624

Properties of LCM 6848 and 6852

(i) The LCM of 6852 and 6848 is associative

LCM of 6848 and 6852 = LCM of 6852 and 6848

Related Least Common Multiples of 6848

Related Least Common Multiples of 6852

Frequently Asked Questions on LCM of 6848 and 6852

1. What is the LCM of 6848 and 6852?

Answer: LCM of 6848 and 6852 is 11730624.

2. What are the Factors of 6848?

Answer: Factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848. There are 14 integers that are factors of 6848. The greatest factor of 6848 is 6848.

3. What are the Factors of 6852?

Answer: Factors of 6852 are 1, 2, 3, 4, 6, 12, 571, 1142, 1713, 2284, 3426, 6852. There are 12 integers that are factors of 6852. The greatest factor of 6852 is 6852.

4. How to Find the LCM of 6848 and 6852?

Answer:

Least Common Multiple of 6848 and 6852 = 11730624

Step 1: Find the prime factorization of 6848

6848 = 2 x 2 x 2 x 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 6852

6852 = 2 x 2 x 3 x 571

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

LCM = 11730624 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 107 x 571

Step 4: Therefore, the least common multiple of 6848 and 6852 is 11730624.