Least Common Multiple of 848 and 854

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 854 the smallest integer that is 362096 that is divisible by both numbers.

Least Common Multiple (LCM) of 848 and 854 is 362096.

LCM(848,854) = 362096

LCM of 848 and 854

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

LCM of:
and

Least Common Multiple of 848 and 854

LCM of 848 and 854 is 362096

Least common multiple can be found by multiplying the highest exponent prime factors of 848 and 854. First we will calculate the prime factors of 848 and 854.

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 854


2 854
7 427
61 61
1

Prime factors of 854 are 2, 7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 848 and 854.

LCM(848,854) = 24×71×531×611
LCM(848,854) = 362096

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 854

List of positive integer factors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Least Common Multiple of 848 and 854 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 854, than apply into the LCM equation.

GCF(848,854) = 2
LCM(848,854) = ( 848 × 854) / 2
LCM(848,854) = 724192 / 2
LCM(848,854) = 362096

Properties of LCM 848 and 854

(i) The LCM of 854 and 848 is associative

LCM of 848 and 854 = LCM of 854 and 848

Related Least Common Multiples of 848

Related Least Common Multiples of 854

Frequently Asked Questions on LCM of 848 and 854

1. What is the LCM of 848 and 854?

Answer: LCM of 848 and 854 is 362096.

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 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

4. How to Find the LCM of 848 and 854?

Answer:

Least Common Multiple of 848 and 854 = 362096

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 854

854 = 2 x 7 x 61

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

LCM = 362096 = 2 x 2 x 2 x 2 x 7 x 53 x 61

Step 4: Therefore, the least common multiple of 848 and 854 is 362096.