Least Common Multiple of 845 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 845 and 849 the smallest integer that is 717405 that is divisible by both numbers.

Least Common Multiple (LCM) of 845 and 849 is 717405.

LCM(845,849) = 717405

LCM of 845 and 849

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

LCM of:
and

Least Common Multiple of 845 and 849

LCM of 845 and 849 is 717405

Least common multiple can be found by multiplying the highest exponent prime factors of 845 and 849. First we will calculate the prime factors of 845 and 849.

Prime Factorization of 845


5 845
13 169
13 13
1

Prime factors of 845 are 5,13. Prime factorization of 845 in exponential form is:

845 = 51×132

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 845 and 849.

LCM(845,849) = 31×51×132×2831
LCM(845,849) = 717405

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Factors of 849

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

1, 3, 283, 849

Least Common Multiple of 845 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 845 and 849, than apply into the LCM equation.

GCF(845,849) = 1
LCM(845,849) = ( 845 × 849) / 1
LCM(845,849) = 717405 / 1
LCM(845,849) = 717405

Properties of LCM 845 and 849

(i) The LCM of 849 and 845 is associative

LCM of 845 and 849 = LCM of 849 and 845

Related Least Common Multiples of 845

Related Least Common Multiples of 849

Frequently Asked Questions on LCM of 845 and 849

1. What is the LCM of 845 and 849?

Answer: LCM of 845 and 849 is 717405.

2. What are the Factors of 845?

Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.

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 845 and 849?

Answer:

Least Common Multiple of 845 and 849 = 717405

Step 1: Find the prime factorization of 845

845 = 5 x 13 x 13

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 = 717405 = 3 x 5 x 13 x 13 x 283

Step 4: Therefore, the least common multiple of 845 and 849 is 717405.