Least Common Multiple of 841 and 843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 841 and 843 the smallest integer that is 708963 that is divisible by both numbers.

Least Common Multiple (LCM) of 841 and 843 is 708963.

LCM(841,843) = 708963

LCM of 841 and 843

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

LCM of:
and

Least Common Multiple of 841 and 843

LCM of 841 and 843 is 708963

Least common multiple can be found by multiplying the highest exponent prime factors of 841 and 843. First we will calculate the prime factors of 841 and 843.

Prime Factorization of 841


29 841
29 29
1

Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:

841 = 292

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

Now multiplying the highest exponent prime factors to calculate the LCM of 841 and 843.

LCM(841,843) = 31×292×2811
LCM(841,843) = 708963

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1, 29, 841

Factors of 843

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

1, 3, 281, 843

Least Common Multiple of 841 and 843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 841 and 843, than apply into the LCM equation.

GCF(841,843) = 1
LCM(841,843) = ( 841 × 843) / 1
LCM(841,843) = 708963 / 1
LCM(841,843) = 708963

Properties of LCM 841 and 843

(i) The LCM of 843 and 841 is associative

LCM of 841 and 843 = LCM of 843 and 841

Related Least Common Multiples of 841

Related Least Common Multiples of 843

Frequently Asked Questions on LCM of 841 and 843

1. What is the LCM of 841 and 843?

Answer: LCM of 841 and 843 is 708963.

2. What are the Factors of 841?

Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.

3. 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.

4. How to Find the LCM of 841 and 843?

Answer:

Least Common Multiple of 841 and 843 = 708963

Step 1: Find the prime factorization of 841

841 = 29 x 29

Step 2: Find the prime factorization of 843

843 = 3 x 281

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

LCM = 708963 = 3 x 29 x 29 x 281

Step 4: Therefore, the least common multiple of 841 and 843 is 708963.