Least Common Multiple of 849 and 854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 849 and 854 the smallest integer that is 725046 that is divisible by both numbers.

Least Common Multiple (LCM) of 849 and 854 is 725046.

LCM(849,854) = 725046

LCM of 849 and 854

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

LCM of:
and

Least Common Multiple of 849 and 854

LCM of 849 and 854 is 725046

Least common multiple can be found by multiplying the highest exponent prime factors of 849 and 854. First we will calculate the prime factors of 849 and 854.

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

Prime Factorization of 854


2 854
7 427
61 61
1

Prime factors of 854 are 2, 7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 849 and 854.

LCM(849,854) = 21×31×71×611×2831
LCM(849,854) = 725046

Factors of 849

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

1, 3, 283, 849

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Least Common Multiple of 849 and 854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 849 and 854, than apply into the LCM equation.

GCF(849,854) = 1
LCM(849,854) = ( 849 × 854) / 1
LCM(849,854) = 725046 / 1
LCM(849,854) = 725046

Properties of LCM 849 and 854

(i) The LCM of 854 and 849 is associative

LCM of 849 and 854 = LCM of 854 and 849

Related Least Common Multiples of 849

Related Least Common Multiples of 854

Frequently Asked Questions on LCM of 849 and 854

1. What is the LCM of 849 and 854?

Answer: LCM of 849 and 854 is 725046.

2. 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.

3. What are the Factors of 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

4. How to Find the LCM of 849 and 854?

Answer:

Least Common Multiple of 849 and 854 = 725046

Step 1: Find the prime factorization of 849

849 = 3 x 283

Step 2: Find the prime factorization of 854

854 = 2 x 7 x 61

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

LCM = 725046 = 2 x 3 x 7 x 61 x 283

Step 4: Therefore, the least common multiple of 849 and 854 is 725046.