Least Common Multiple of 6843 and 6850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6843 and 6850 the smallest integer that is 46874550 that is divisible by both numbers.

Least Common Multiple (LCM) of 6843 and 6850 is 46874550.

LCM(6843,6850) = 46874550

LCM of 6843 and 6850

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

LCM of:
and

Least Common Multiple of 6843 and 6850

LCM of 6843 and 6850 is 46874550

Least common multiple can be found by multiplying the highest exponent prime factors of 6843 and 6850. First we will calculate the prime factors of 6843 and 6850.

Prime Factorization of 6843


3 6843
2281 2281
1

Prime factors of 6843 are 3,2281. Prime factorization of 6843 in exponential form is:

6843 = 31×22811

Prime Factorization of 6850


2 6850
5 3425
5 685
137 137
1

Prime factors of 6850 are 2, 5,137. Prime factorization of 6850 in exponential form is:

6850 = 21×52×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6843 and 6850.

LCM(6843,6850) = 21×31×52×1371×22811
LCM(6843,6850) = 46874550

Factors of 6843

List of positive integer factors of 6843 that divides 6843 without a remainder.

1, 3, 2281, 6843

Factors of 6850

List of positive integer factors of 6850 that divides 6850 without a remainder.

1, 2, 5, 10, 25, 50, 137, 274, 685, 1370, 3425, 6850

Least Common Multiple of 6843 and 6850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6843 and 6850, than apply into the LCM equation.

GCF(6843,6850) = 1
LCM(6843,6850) = ( 6843 × 6850) / 1
LCM(6843,6850) = 46874550 / 1
LCM(6843,6850) = 46874550

Properties of LCM 6843 and 6850

(i) The LCM of 6850 and 6843 is associative

LCM of 6843 and 6850 = LCM of 6850 and 6843

Related Least Common Multiples of 6843

Related Least Common Multiples of 6850

Frequently Asked Questions on LCM of 6843 and 6850

1. What is the LCM of 6843 and 6850?

Answer: LCM of 6843 and 6850 is 46874550.

2. What are the Factors of 6843?

Answer: Factors of 6843 are 1, 3, 2281, 6843. There are 4 integers that are factors of 6843. The greatest factor of 6843 is 6843.

3. What are the Factors of 6850?

Answer: Factors of 6850 are 1, 2, 5, 10, 25, 50, 137, 274, 685, 1370, 3425, 6850. There are 12 integers that are factors of 6850. The greatest factor of 6850 is 6850.

4. How to Find the LCM of 6843 and 6850?

Answer:

Least Common Multiple of 6843 and 6850 = 46874550

Step 1: Find the prime factorization of 6843

6843 = 3 x 2281

Step 2: Find the prime factorization of 6850

6850 = 2 x 5 x 5 x 137

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

LCM = 46874550 = 2 x 3 x 5 x 5 x 137 x 2281

Step 4: Therefore, the least common multiple of 6843 and 6850 is 46874550.