Least Common Multiple of 6858 and 6862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6858 and 6862 the smallest integer that is 23529798 that is divisible by both numbers.

Least Common Multiple (LCM) of 6858 and 6862 is 23529798.

LCM(6858,6862) = 23529798

LCM of 6858 and 6862

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

LCM of:
and

Least Common Multiple of 6858 and 6862

LCM of 6858 and 6862 is 23529798

Least common multiple can be found by multiplying the highest exponent prime factors of 6858 and 6862. First we will calculate the prime factors of 6858 and 6862.

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

Prime Factorization of 6862


2 6862
47 3431
73 73
1

Prime factors of 6862 are 2, 47,73. Prime factorization of 6862 in exponential form is:

6862 = 21×471×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6858 and 6862.

LCM(6858,6862) = 21×33×471×731×1271
LCM(6858,6862) = 23529798

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

Factors of 6862

List of positive integer factors of 6862 that divides 6862 without a remainder.

1, 2, 47, 73, 94, 146, 3431, 6862

Least Common Multiple of 6858 and 6862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6858 and 6862, than apply into the LCM equation.

GCF(6858,6862) = 2
LCM(6858,6862) = ( 6858 × 6862) / 2
LCM(6858,6862) = 47059596 / 2
LCM(6858,6862) = 23529798

Properties of LCM 6858 and 6862

(i) The LCM of 6862 and 6858 is associative

LCM of 6858 and 6862 = LCM of 6862 and 6858

Related Least Common Multiples of 6858

Related Least Common Multiples of 6862

Frequently Asked Questions on LCM of 6858 and 6862

1. What is the LCM of 6858 and 6862?

Answer: LCM of 6858 and 6862 is 23529798.

2. 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.

3. What are the Factors of 6862?

Answer: Factors of 6862 are 1, 2, 47, 73, 94, 146, 3431, 6862. There are 8 integers that are factors of 6862. The greatest factor of 6862 is 6862.

4. How to Find the LCM of 6858 and 6862?

Answer:

Least Common Multiple of 6858 and 6862 = 23529798

Step 1: Find the prime factorization of 6858

6858 = 2 x 3 x 3 x 3 x 127

Step 2: Find the prime factorization of 6862

6862 = 2 x 47 x 73

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

LCM = 23529798 = 2 x 3 x 3 x 3 x 47 x 73 x 127

Step 4: Therefore, the least common multiple of 6858 and 6862 is 23529798.