Least Common Multiple of 6845 and 6853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6845 and 6853 the smallest integer that is 46908785 that is divisible by both numbers.

Least Common Multiple (LCM) of 6845 and 6853 is 46908785.

LCM(6845,6853) = 46908785

LCM of 6845 and 6853

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

LCM of:
and

Least Common Multiple of 6845 and 6853

LCM of 6845 and 6853 is 46908785

Least common multiple can be found by multiplying the highest exponent prime factors of 6845 and 6853. First we will calculate the prime factors of 6845 and 6853.

Prime Factorization of 6845


5 6845
37 1369
37 37
1

Prime factors of 6845 are 5,37. Prime factorization of 6845 in exponential form is:

6845 = 51×372

Prime Factorization of 6853


7 6853
11 979
89 89
1

Prime factors of 6853 are 7, 11,89. Prime factorization of 6853 in exponential form is:

6853 = 71×111×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6845 and 6853.

LCM(6845,6853) = 51×71×111×372×891
LCM(6845,6853) = 46908785

Factors of 6845

List of positive integer factors of 6845 that divides 6845 without a remainder.

1, 5, 37, 185, 1369, 6845

Factors of 6853

List of positive integer factors of 6853 that divides 6853 without a remainder.

1, 7, 11, 77, 89, 623, 979, 6853

Least Common Multiple of 6845 and 6853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6845 and 6853, than apply into the LCM equation.

GCF(6845,6853) = 1
LCM(6845,6853) = ( 6845 × 6853) / 1
LCM(6845,6853) = 46908785 / 1
LCM(6845,6853) = 46908785

Properties of LCM 6845 and 6853

(i) The LCM of 6853 and 6845 is associative

LCM of 6845 and 6853 = LCM of 6853 and 6845

Related Least Common Multiples of 6845

Related Least Common Multiples of 6853

Frequently Asked Questions on LCM of 6845 and 6853

1. What is the LCM of 6845 and 6853?

Answer: LCM of 6845 and 6853 is 46908785.

2. What are the Factors of 6845?

Answer: Factors of 6845 are 1, 5, 37, 185, 1369, 6845. There are 6 integers that are factors of 6845. The greatest factor of 6845 is 6845.

3. What are the Factors of 6853?

Answer: Factors of 6853 are 1, 7, 11, 77, 89, 623, 979, 6853. There are 8 integers that are factors of 6853. The greatest factor of 6853 is 6853.

4. How to Find the LCM of 6845 and 6853?

Answer:

Least Common Multiple of 6845 and 6853 = 46908785

Step 1: Find the prime factorization of 6845

6845 = 5 x 37 x 37

Step 2: Find the prime factorization of 6853

6853 = 7 x 11 x 89

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

LCM = 46908785 = 5 x 7 x 11 x 37 x 37 x 89

Step 4: Therefore, the least common multiple of 6845 and 6853 is 46908785.