Least Common Multiple of 843 and 846

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 846 the smallest integer that is 237726 that is divisible by both numbers.

Least Common Multiple (LCM) of 843 and 846 is 237726.

LCM(843,846) = 237726

LCM of 843 and 846

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

LCM of:
and

Least Common Multiple of 843 and 846

LCM of 843 and 846 is 237726

Least common multiple can be found by multiplying the highest exponent prime factors of 843 and 846. First we will calculate the prime factors of 843 and 846.

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 846


2 846
3 423
3 141
47 47
1

Prime factors of 846 are 2, 3,47. Prime factorization of 846 in exponential form is:

846 = 21×32×471

Now multiplying the highest exponent prime factors to calculate the LCM of 843 and 846.

LCM(843,846) = 21×32×471×2811
LCM(843,846) = 237726

Factors of 843

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

1, 3, 281, 843

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Least Common Multiple of 843 and 846 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 846, than apply into the LCM equation.

GCF(843,846) = 3
LCM(843,846) = ( 843 × 846) / 3
LCM(843,846) = 713178 / 3
LCM(843,846) = 237726

Properties of LCM 843 and 846

(i) The LCM of 846 and 843 is associative

LCM of 843 and 846 = LCM of 846 and 843

Related Least Common Multiples of 843

Related Least Common Multiples of 846

Frequently Asked Questions on LCM of 843 and 846

1. What is the LCM of 843 and 846?

Answer: LCM of 843 and 846 is 237726.

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 846?

Answer: Factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846. There are 12 integers that are factors of 846. The greatest factor of 846 is 846.

4. How to Find the LCM of 843 and 846?

Answer:

Least Common Multiple of 843 and 846 = 237726

Step 1: Find the prime factorization of 843

843 = 3 x 281

Step 2: Find the prime factorization of 846

846 = 2 x 3 x 3 x 47

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

LCM = 237726 = 2 x 3 x 3 x 47 x 281

Step 4: Therefore, the least common multiple of 843 and 846 is 237726.