Least Common Multiple of 835 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 835 and 843 the smallest integer that is 703905 that is divisible by both numbers.

Least Common Multiple (LCM) of 835 and 843 is 703905.

LCM(835,843) = 703905

LCM of 835 and 843

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

LCM of:
and

Least Common Multiple of 835 and 843

LCM of 835 and 843 is 703905

Least common multiple can be found by multiplying the highest exponent prime factors of 835 and 843. First we will calculate the prime factors of 835 and 843.

Prime Factorization of 835


5 835
167 167
1

Prime factors of 835 are 5,167. Prime factorization of 835 in exponential form is:

835 = 51×1671

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 835 and 843.

LCM(835,843) = 31×51×1671×2811
LCM(835,843) = 703905

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Factors of 843

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

1, 3, 281, 843

Least Common Multiple of 835 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 835 and 843, than apply into the LCM equation.

GCF(835,843) = 1
LCM(835,843) = ( 835 × 843) / 1
LCM(835,843) = 703905 / 1
LCM(835,843) = 703905

Properties of LCM 835 and 843

(i) The LCM of 843 and 835 is associative

LCM of 835 and 843 = LCM of 843 and 835

Related Least Common Multiples of 835

Related Least Common Multiples of 843

Frequently Asked Questions on LCM of 835 and 843

1. What is the LCM of 835 and 843?

Answer: LCM of 835 and 843 is 703905.

2. What are the Factors of 835?

Answer: Factors of 835 are 1, 5, 167, 835. There are 4 integers that are factors of 835. The greatest factor of 835 is 835.

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 835 and 843?

Answer:

Least Common Multiple of 835 and 843 = 703905

Step 1: Find the prime factorization of 835

835 = 5 x 167

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 = 703905 = 3 x 5 x 167 x 281

Step 4: Therefore, the least common multiple of 835 and 843 is 703905.