Least Common Multiple of 841 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 841 and 844 the smallest integer that is 709804 that is divisible by both numbers.

Least Common Multiple (LCM) of 841 and 844 is 709804.

LCM(841,844) = 709804

LCM of 841 and 844

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

LCM of:
and

Least Common Multiple of 841 and 844

LCM of 841 and 844 is 709804

Least common multiple can be found by multiplying the highest exponent prime factors of 841 and 844. First we will calculate the prime factors of 841 and 844.

Prime Factorization of 841


29 841
29 29
1

Prime factors of 841 are 29. Prime factorization of 841 in exponential form is:

841 = 292

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 841 and 844.

LCM(841,844) = 22×292×2111
LCM(841,844) = 709804

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1, 29, 841

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 841 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 841 and 844, than apply into the LCM equation.

GCF(841,844) = 1
LCM(841,844) = ( 841 × 844) / 1
LCM(841,844) = 709804 / 1
LCM(841,844) = 709804

Properties of LCM 841 and 844

(i) The LCM of 844 and 841 is associative

LCM of 841 and 844 = LCM of 844 and 841

Related Least Common Multiples of 841

Related Least Common Multiples of 844

Frequently Asked Questions on LCM of 841 and 844

1. What is the LCM of 841 and 844?

Answer: LCM of 841 and 844 is 709804.

2. What are the Factors of 841?

Answer: Factors of 841 are 1, 29, 841. There are 3 integers that are factors of 841. The greatest factor of 841 is 841.

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 841 and 844?

Answer:

Least Common Multiple of 841 and 844 = 709804

Step 1: Find the prime factorization of 841

841 = 29 x 29

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 = 709804 = 2 x 2 x 29 x 29 x 211

Step 4: Therefore, the least common multiple of 841 and 844 is 709804.