Least Common Multiple of 848 and 853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 848 and 853 the smallest integer that is 723344 that is divisible by both numbers.

Least Common Multiple (LCM) of 848 and 853 is 723344.

LCM(848,853) = 723344

LCM of 848 and 853

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

LCM of:
and

Least Common Multiple of 848 and 853

LCM of 848 and 853 is 723344

Least common multiple can be found by multiplying the highest exponent prime factors of 848 and 853. First we will calculate the prime factors of 848 and 853.

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

Prime Factorization of 853


853 853
1

Prime factors of 853 are 853. Prime factorization of 853 in exponential form is:

853 = 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 848 and 853.

LCM(848,853) = 24×531×8531
LCM(848,853) = 723344

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

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1, 853

Least Common Multiple of 848 and 853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 848 and 853, than apply into the LCM equation.

GCF(848,853) = 1
LCM(848,853) = ( 848 × 853) / 1
LCM(848,853) = 723344 / 1
LCM(848,853) = 723344

Properties of LCM 848 and 853

(i) The LCM of 853 and 848 is associative

LCM of 848 and 853 = LCM of 853 and 848

Related Least Common Multiples of 848

Related Least Common Multiples of 853

Frequently Asked Questions on LCM of 848 and 853

1. What is the LCM of 848 and 853?

Answer: LCM of 848 and 853 is 723344.

2. 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.

3. What are the Factors of 853?

Answer: Factors of 853 are 1, 853. There are 2 integers that are factors of 853. The greatest factor of 853 is 853.

4. How to Find the LCM of 848 and 853?

Answer:

Least Common Multiple of 848 and 853 = 723344

Step 1: Find the prime factorization of 848

848 = 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 853

853 = 853

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

LCM = 723344 = 2 x 2 x 2 x 2 x 53 x 853

Step 4: Therefore, the least common multiple of 848 and 853 is 723344.