Least Common Multiple of 843 and 849

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 849 the smallest integer that is 238569 that is divisible by both numbers.

Least Common Multiple (LCM) of 843 and 849 is 238569.

LCM(843,849) = 238569

LCM of 843 and 849

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

LCM of:
and

Least Common Multiple of 843 and 849

LCM of 843 and 849 is 238569

Least common multiple can be found by multiplying the highest exponent prime factors of 843 and 849. First we will calculate the prime factors of 843 and 849.

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 849


3 849
283 283
1

Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:

849 = 31×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 843 and 849.

LCM(843,849) = 31×2811×2831
LCM(843,849) = 238569

Factors of 843

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

1, 3, 281, 843

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Least Common Multiple of 843 and 849 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 849, than apply into the LCM equation.

GCF(843,849) = 3
LCM(843,849) = ( 843 × 849) / 3
LCM(843,849) = 715707 / 3
LCM(843,849) = 238569

Properties of LCM 843 and 849

(i) The LCM of 849 and 843 is associative

LCM of 843 and 849 = LCM of 849 and 843

Related Least Common Multiples of 843

Related Least Common Multiples of 849

Frequently Asked Questions on LCM of 843 and 849

1. What is the LCM of 843 and 849?

Answer: LCM of 843 and 849 is 238569.

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 849?

Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.

4. How to Find the LCM of 843 and 849?

Answer:

Least Common Multiple of 843 and 849 = 238569

Step 1: Find the prime factorization of 843

843 = 3 x 281

Step 2: Find the prime factorization of 849

849 = 3 x 283

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

LCM = 238569 = 3 x 281 x 283

Step 4: Therefore, the least common multiple of 843 and 849 is 238569.