Least Common Multiple of 844 and 845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 844 and 845 the smallest integer that is 713180 that is divisible by both numbers.

Least Common Multiple (LCM) of 844 and 845 is 713180.

LCM(844,845) = 713180

LCM of 844 and 845

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

LCM of:
and

Least Common Multiple of 844 and 845

LCM of 844 and 845 is 713180

Least common multiple can be found by multiplying the highest exponent prime factors of 844 and 845. First we will calculate the prime factors of 844 and 845.

Prime Factorization of 844


2 844
2 422
211 211
1

Prime factors of 844 are 2,211. Prime factorization of 844 in exponential form is:

844 = 22×2111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 844 and 845.

LCM(844,845) = 22×51×132×2111
LCM(844,845) = 713180

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Factors of 845

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

1, 5, 13, 65, 169, 845

Least Common Multiple of 844 and 845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 844 and 845, than apply into the LCM equation.

GCF(844,845) = 1
LCM(844,845) = ( 844 × 845) / 1
LCM(844,845) = 713180 / 1
LCM(844,845) = 713180

Properties of LCM 844 and 845

(i) The LCM of 845 and 844 is associative

LCM of 844 and 845 = LCM of 845 and 844

Related Least Common Multiples of 844

Related Least Common Multiples of 845

Frequently Asked Questions on LCM of 844 and 845

1. What is the LCM of 844 and 845?

Answer: LCM of 844 and 845 is 713180.

2. What are the Factors of 844?

Answer: Factors of 844 are 1, 2, 4, 211, 422, 844. There are 6 integers that are factors of 844. The greatest factor of 844 is 844.

3. 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.

4. How to Find the LCM of 844 and 845?

Answer:

Least Common Multiple of 844 and 845 = 713180

Step 1: Find the prime factorization of 844

844 = 2 x 2 x 211

Step 2: Find the prime factorization of 845

845 = 5 x 13 x 13

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

LCM = 713180 = 2 x 2 x 5 x 13 x 13 x 211

Step 4: Therefore, the least common multiple of 844 and 845 is 713180.