Least Common Multiple of 6852 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 6852 and 6858 the smallest integer that is 7831836 that is divisible by both numbers.

Least Common Multiple (LCM) of 6852 and 6858 is 7831836.

LCM(6852,6858) = 7831836

LCM of 6852 and 6858

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

LCM of:
and

Least Common Multiple of 6852 and 6858

LCM of 6852 and 6858 is 7831836

Least common multiple can be found by multiplying the highest exponent prime factors of 6852 and 6858. First we will calculate the prime factors of 6852 and 6858.

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

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 6852 and 6858.

LCM(6852,6858) = 22×33×1271×5711
LCM(6852,6858) = 7831836

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

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 6852 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 6852 and 6858, than apply into the LCM equation.

GCF(6852,6858) = 6
LCM(6852,6858) = ( 6852 × 6858) / 6
LCM(6852,6858) = 46991016 / 6
LCM(6852,6858) = 7831836

Properties of LCM 6852 and 6858

(i) The LCM of 6858 and 6852 is associative

LCM of 6852 and 6858 = LCM of 6858 and 6852

Related Least Common Multiples of 6852

Related Least Common Multiples of 6858

Frequently Asked Questions on LCM of 6852 and 6858

1. What is the LCM of 6852 and 6858?

Answer: LCM of 6852 and 6858 is 7831836.

2. 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.

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 6852 and 6858?

Answer:

Least Common Multiple of 6852 and 6858 = 7831836

Step 1: Find the prime factorization of 6852

6852 = 2 x 2 x 3 x 571

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 = 7831836 = 2 x 2 x 3 x 3 x 3 x 127 x 571

Step 4: Therefore, the least common multiple of 6852 and 6858 is 7831836.