Least Common Multiple of 842 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 842 and 844 the smallest integer that is 355324 that is divisible by both numbers.

Least Common Multiple (LCM) of 842 and 844 is 355324.

LCM(842,844) = 355324

LCM of 842 and 844

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

LCM of:
and

Least Common Multiple of 842 and 844

LCM of 842 and 844 is 355324

Least common multiple can be found by multiplying the highest exponent prime factors of 842 and 844. First we will calculate the prime factors of 842 and 844.

Prime Factorization of 842


2 842
421 421
1

Prime factors of 842 are 2,421. Prime factorization of 842 in exponential form is:

842 = 21×4211

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 842 and 844.

LCM(842,844) = 22×2111×4211
LCM(842,844) = 355324

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1, 2, 421, 842

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 842 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 842 and 844, than apply into the LCM equation.

GCF(842,844) = 2
LCM(842,844) = ( 842 × 844) / 2
LCM(842,844) = 710648 / 2
LCM(842,844) = 355324

Properties of LCM 842 and 844

(i) The LCM of 844 and 842 is associative

LCM of 842 and 844 = LCM of 844 and 842

Related Least Common Multiples of 842

Related Least Common Multiples of 844

Frequently Asked Questions on LCM of 842 and 844

1. What is the LCM of 842 and 844?

Answer: LCM of 842 and 844 is 355324.

2. What are the Factors of 842?

Answer: Factors of 842 are 1, 2, 421, 842. There are 4 integers that are factors of 842. The greatest factor of 842 is 842.

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 842 and 844?

Answer:

Least Common Multiple of 842 and 844 = 355324

Step 1: Find the prime factorization of 842

842 = 2 x 421

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 = 355324 = 2 x 2 x 211 x 421

Step 4: Therefore, the least common multiple of 842 and 844 is 355324.