Least Common Multiple of 839 and 844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 839 and 844 the smallest integer that is 708116 that is divisible by both numbers.

Least Common Multiple (LCM) of 839 and 844 is 708116.

LCM(839,844) = 708116

LCM of 839 and 844

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

LCM of:
and

Least Common Multiple of 839 and 844

LCM of 839 and 844 is 708116

Least common multiple can be found by multiplying the highest exponent prime factors of 839 and 844. First we will calculate the prime factors of 839 and 844.

Prime Factorization of 839


839 839
1

Prime factors of 839 are 839. Prime factorization of 839 in exponential form is:

839 = 8391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 839 and 844.

LCM(839,844) = 22×2111×8391
LCM(839,844) = 708116

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1, 839

Factors of 844

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

1, 2, 4, 211, 422, 844

Least Common Multiple of 839 and 844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 839 and 844, than apply into the LCM equation.

GCF(839,844) = 1
LCM(839,844) = ( 839 × 844) / 1
LCM(839,844) = 708116 / 1
LCM(839,844) = 708116

Properties of LCM 839 and 844

(i) The LCM of 844 and 839 is associative

LCM of 839 and 844 = LCM of 844 and 839

Related Least Common Multiples of 839

Related Least Common Multiples of 844

Frequently Asked Questions on LCM of 839 and 844

1. What is the LCM of 839 and 844?

Answer: LCM of 839 and 844 is 708116.

2. What are the Factors of 839?

Answer: Factors of 839 are 1, 839. There are 2 integers that are factors of 839. The greatest factor of 839 is 839.

3. 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.

4. How to Find the LCM of 839 and 844?

Answer:

Least Common Multiple of 839 and 844 = 708116

Step 1: Find the prime factorization of 839

839 = 839

Step 2: Find the prime factorization of 844

844 = 2 x 2 x 211

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

LCM = 708116 = 2 x 2 x 211 x 839

Step 4: Therefore, the least common multiple of 839 and 844 is 708116.