Least Common Multiple of 843 and 850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 843 and 850 the smallest integer that is 716550 that is divisible by both numbers.

Least Common Multiple (LCM) of 843 and 850 is 716550.

LCM(843,850) = 716550

LCM of 843 and 850

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

LCM of:
and

Least Common Multiple of 843 and 850

LCM of 843 and 850 is 716550

Least common multiple can be found by multiplying the highest exponent prime factors of 843 and 850. First we will calculate the prime factors of 843 and 850.

Prime Factorization of 843


3 843
281 281
1

Prime factors of 843 are 3,281. Prime factorization of 843 in exponential form is:

843 = 31×2811

Prime Factorization of 850


2 850
5 425
5 85
17 17
1

Prime factors of 850 are 2, 5,17. Prime factorization of 850 in exponential form is:

850 = 21×52×171

Now multiplying the highest exponent prime factors to calculate the LCM of 843 and 850.

LCM(843,850) = 21×31×52×171×2811
LCM(843,850) = 716550

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Least Common Multiple of 843 and 850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 843 and 850, than apply into the LCM equation.

GCF(843,850) = 1
LCM(843,850) = ( 843 × 850) / 1
LCM(843,850) = 716550 / 1
LCM(843,850) = 716550

Properties of LCM 843 and 850

(i) The LCM of 850 and 843 is associative

LCM of 843 and 850 = LCM of 850 and 843

Related Least Common Multiples of 843

Related Least Common Multiples of 850

Frequently Asked Questions on LCM of 843 and 850

1. What is the LCM of 843 and 850?

Answer: LCM of 843 and 850 is 716550.

2. What are the Factors of 843?

Answer: Factors of 843 are 1, 3, 281, 843. There are 4 integers that are factors of 843. The greatest factor of 843 is 843.

3. What are the Factors of 850?

Answer: Factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. There are 12 integers that are factors of 850. The greatest factor of 850 is 850.

4. How to Find the LCM of 843 and 850?

Answer:

Least Common Multiple of 843 and 850 = 716550

Step 1: Find the prime factorization of 843

843 = 3 x 281

Step 2: Find the prime factorization of 850

850 = 2 x 5 x 5 x 17

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

LCM = 716550 = 2 x 3 x 5 x 5 x 17 x 281

Step 4: Therefore, the least common multiple of 843 and 850 is 716550.