Least Common Multiple of 844 and 848

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 848 the smallest integer that is 178928 that is divisible by both numbers.

Least Common Multiple (LCM) of 844 and 848 is 178928.

LCM(844,848) = 178928

LCM of 844 and 848

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

LCM of:
and

Least Common Multiple of 844 and 848

LCM of 844 and 848 is 178928

Least common multiple can be found by multiplying the highest exponent prime factors of 844 and 848. First we will calculate the prime factors of 844 and 848.

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 848


2 848
2 424
2 212
2 106
53 53
1

Prime factors of 848 are 2,53. Prime factorization of 848 in exponential form is:

848 = 24×531

Now multiplying the highest exponent prime factors to calculate the LCM of 844 and 848.

LCM(844,848) = 24×531×2111
LCM(844,848) = 178928

Factors of 844

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

1, 2, 4, 211, 422, 844

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Least Common Multiple of 844 and 848 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 848, than apply into the LCM equation.

GCF(844,848) = 4
LCM(844,848) = ( 844 × 848) / 4
LCM(844,848) = 715712 / 4
LCM(844,848) = 178928

Properties of LCM 844 and 848

(i) The LCM of 848 and 844 is associative

LCM of 844 and 848 = LCM of 848 and 844

Related Least Common Multiples of 844

Related Least Common Multiples of 848

Frequently Asked Questions on LCM of 844 and 848

1. What is the LCM of 844 and 848?

Answer: LCM of 844 and 848 is 178928.

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 848?

Answer: Factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848. There are 10 integers that are factors of 848. The greatest factor of 848 is 848.

4. How to Find the LCM of 844 and 848?

Answer:

Least Common Multiple of 844 and 848 = 178928

Step 1: Find the prime factorization of 844

844 = 2 x 2 x 211

Step 2: Find the prime factorization of 848

848 = 2 x 2 x 2 x 2 x 53

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

LCM = 178928 = 2 x 2 x 2 x 2 x 53 x 211

Step 4: Therefore, the least common multiple of 844 and 848 is 178928.