Least Common Multiple of 6853 and 6858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6853 and 6858 the smallest integer that is 46997874 that is divisible by both numbers.

Least Common Multiple (LCM) of 6853 and 6858 is 46997874.

LCM(6853,6858) = 46997874

LCM of 6853 and 6858

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

LCM of:
and

Least Common Multiple of 6853 and 6858

LCM of 6853 and 6858 is 46997874

Least common multiple can be found by multiplying the highest exponent prime factors of 6853 and 6858. First we will calculate the prime factors of 6853 and 6858.

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

Prime Factorization of 6858


2 6858
3 3429
3 1143
3 381
127 127
1

Prime factors of 6858 are 2, 3,127. Prime factorization of 6858 in exponential form is:

6858 = 21×33×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6853 and 6858.

LCM(6853,6858) = 21×33×71×111×891×1271
LCM(6853,6858) = 46997874

Factors of 6853

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

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

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858

Least Common Multiple of 6853 and 6858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6853 and 6858, than apply into the LCM equation.

GCF(6853,6858) = 1
LCM(6853,6858) = ( 6853 × 6858) / 1
LCM(6853,6858) = 46997874 / 1
LCM(6853,6858) = 46997874

Properties of LCM 6853 and 6858

(i) The LCM of 6858 and 6853 is associative

LCM of 6853 and 6858 = LCM of 6858 and 6853

Related Least Common Multiples of 6853

Related Least Common Multiples of 6858

Frequently Asked Questions on LCM of 6853 and 6858

1. What is the LCM of 6853 and 6858?

Answer: LCM of 6853 and 6858 is 46997874.

2. 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.

3. What are the Factors of 6858?

Answer: Factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858. There are 16 integers that are factors of 6858. The greatest factor of 6858 is 6858.

4. How to Find the LCM of 6853 and 6858?

Answer:

Least Common Multiple of 6853 and 6858 = 46997874

Step 1: Find the prime factorization of 6853

6853 = 7 x 11 x 89

Step 2: Find the prime factorization of 6858

6858 = 2 x 3 x 3 x 3 x 127

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

LCM = 46997874 = 2 x 3 x 3 x 3 x 7 x 11 x 89 x 127

Step 4: Therefore, the least common multiple of 6853 and 6858 is 46997874.