Least Common Multiple of 6841 and 6848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6841 and 6848 the smallest integer that is 46847168 that is divisible by both numbers.

Least Common Multiple (LCM) of 6841 and 6848 is 46847168.

LCM(6841,6848) = 46847168

LCM of 6841 and 6848

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

LCM of:
and

Least Common Multiple of 6841 and 6848

LCM of 6841 and 6848 is 46847168

Least common multiple can be found by multiplying the highest exponent prime factors of 6841 and 6848. First we will calculate the prime factors of 6841 and 6848.

Prime Factorization of 6841


6841 6841
1

Prime factors of 6841 are 6841. Prime factorization of 6841 in exponential form is:

6841 = 68411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6841 and 6848.

LCM(6841,6848) = 26×1071×68411
LCM(6841,6848) = 46847168

Factors of 6841

List of positive integer factors of 6841 that divides 6841 without a remainder.

1, 6841

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

Least Common Multiple of 6841 and 6848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6841 and 6848, than apply into the LCM equation.

GCF(6841,6848) = 1
LCM(6841,6848) = ( 6841 × 6848) / 1
LCM(6841,6848) = 46847168 / 1
LCM(6841,6848) = 46847168

Properties of LCM 6841 and 6848

(i) The LCM of 6848 and 6841 is associative

LCM of 6841 and 6848 = LCM of 6848 and 6841

Related Least Common Multiples of 6841

Related Least Common Multiples of 6848

Frequently Asked Questions on LCM of 6841 and 6848

1. What is the LCM of 6841 and 6848?

Answer: LCM of 6841 and 6848 is 46847168.

2. What are the Factors of 6841?

Answer: Factors of 6841 are 1, 6841. There are 2 integers that are factors of 6841. The greatest factor of 6841 is 6841.

3. 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.

4. How to Find the LCM of 6841 and 6848?

Answer:

Least Common Multiple of 6841 and 6848 = 46847168

Step 1: Find the prime factorization of 6841

6841 = 6841

Step 2: Find the prime factorization of 6848

6848 = 2 x 2 x 2 x 2 x 2 x 2 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 = 46847168 = 2 x 2 x 2 x 2 x 2 x 2 x 107 x 6841

Step 4: Therefore, the least common multiple of 6841 and 6848 is 46847168.