Least Common Multiple of 846 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 846 and 849 the smallest integer that is 239418 that is divisible by both numbers.

Least Common Multiple (LCM) of 846 and 849 is 239418.

LCM(846,849) = 239418

LCM of 846 and 849

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

LCM of:
and

Least Common Multiple of 846 and 849

LCM of 846 and 849 is 239418

Least common multiple can be found by multiplying the highest exponent prime factors of 846 and 849. First we will calculate the prime factors of 846 and 849.

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

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 846 and 849.

LCM(846,849) = 21×32×471×2831
LCM(846,849) = 239418

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

Factors of 849

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

1, 3, 283, 849

Least Common Multiple of 846 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 846 and 849, than apply into the LCM equation.

GCF(846,849) = 3
LCM(846,849) = ( 846 × 849) / 3
LCM(846,849) = 718254 / 3
LCM(846,849) = 239418

Properties of LCM 846 and 849

(i) The LCM of 849 and 846 is associative

LCM of 846 and 849 = LCM of 849 and 846

Related Least Common Multiples of 846

Related Least Common Multiples of 849

Frequently Asked Questions on LCM of 846 and 849

1. What is the LCM of 846 and 849?

Answer: LCM of 846 and 849 is 239418.

2. 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.

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 846 and 849?

Answer:

Least Common Multiple of 846 and 849 = 239418

Step 1: Find the prime factorization of 846

846 = 2 x 3 x 3 x 47

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 = 239418 = 2 x 3 x 3 x 47 x 283

Step 4: Therefore, the least common multiple of 846 and 849 is 239418.