Least Common Multiple of 849 and 856

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 856 the smallest integer that is 726744 that is divisible by both numbers.

Least Common Multiple (LCM) of 849 and 856 is 726744.

LCM(849,856) = 726744

LCM of 849 and 856

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

LCM of:
and

Least Common Multiple of 849 and 856

LCM of 849 and 856 is 726744

Least common multiple can be found by multiplying the highest exponent prime factors of 849 and 856. First we will calculate the prime factors of 849 and 856.

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 856


2 856
2 428
2 214
107 107
1

Prime factors of 856 are 2,107. Prime factorization of 856 in exponential form is:

856 = 23×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 849 and 856.

LCM(849,856) = 23×31×1071×2831
LCM(849,856) = 726744

Factors of 849

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

1, 3, 283, 849

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Least Common Multiple of 849 and 856 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 856, than apply into the LCM equation.

GCF(849,856) = 1
LCM(849,856) = ( 849 × 856) / 1
LCM(849,856) = 726744 / 1
LCM(849,856) = 726744

Properties of LCM 849 and 856

(i) The LCM of 856 and 849 is associative

LCM of 849 and 856 = LCM of 856 and 849

Related Least Common Multiples of 849

Related Least Common Multiples of 856

Frequently Asked Questions on LCM of 849 and 856

1. What is the LCM of 849 and 856?

Answer: LCM of 849 and 856 is 726744.

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 856?

Answer: Factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856. There are 8 integers that are factors of 856. The greatest factor of 856 is 856.

4. How to Find the LCM of 849 and 856?

Answer:

Least Common Multiple of 849 and 856 = 726744

Step 1: Find the prime factorization of 849

849 = 3 x 283

Step 2: Find the prime factorization of 856

856 = 2 x 2 x 2 x 107

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

LCM = 726744 = 2 x 2 x 2 x 3 x 107 x 283

Step 4: Therefore, the least common multiple of 849 and 856 is 726744.