Least Common Multiple of 6859 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 6859 and 6862 the smallest integer that is 47066458 that is divisible by both numbers.

Least Common Multiple (LCM) of 6859 and 6862 is 47066458.

LCM(6859,6862) = 47066458

LCM of 6859 and 6862

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

LCM of:
and

Least Common Multiple of 6859 and 6862

LCM of 6859 and 6862 is 47066458

Least common multiple can be found by multiplying the highest exponent prime factors of 6859 and 6862. First we will calculate the prime factors of 6859 and 6862.

Prime Factorization of 6859


19 6859
19 361
19 19
1

Prime factors of 6859 are 19. Prime factorization of 6859 in exponential form is:

6859 = 193

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 6859 and 6862.

LCM(6859,6862) = 21×193×471×731
LCM(6859,6862) = 47066458

Factors of 6859

List of positive integer factors of 6859 that divides 6859 without a remainder.

1, 19, 361, 6859

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 6859 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 6859 and 6862, than apply into the LCM equation.

GCF(6859,6862) = 1
LCM(6859,6862) = ( 6859 × 6862) / 1
LCM(6859,6862) = 47066458 / 1
LCM(6859,6862) = 47066458

Properties of LCM 6859 and 6862

(i) The LCM of 6862 and 6859 is associative

LCM of 6859 and 6862 = LCM of 6862 and 6859

Related Least Common Multiples of 6859

Related Least Common Multiples of 6862

Frequently Asked Questions on LCM of 6859 and 6862

1. What is the LCM of 6859 and 6862?

Answer: LCM of 6859 and 6862 is 47066458.

2. What are the Factors of 6859?

Answer: Factors of 6859 are 1, 19, 361, 6859. There are 4 integers that are factors of 6859. The greatest factor of 6859 is 6859.

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 6859 and 6862?

Answer:

Least Common Multiple of 6859 and 6862 = 47066458

Step 1: Find the prime factorization of 6859

6859 = 19 x 19 x 19

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 = 47066458 = 2 x 19 x 19 x 19 x 47 x 73

Step 4: Therefore, the least common multiple of 6859 and 6862 is 47066458.