Least Common Multiple of 847 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 847 and 854 the smallest integer that is 103334 that is divisible by both numbers.

Least Common Multiple (LCM) of 847 and 854 is 103334.

LCM(847,854) = 103334

LCM of 847 and 854

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

LCM of:
and

Least Common Multiple of 847 and 854

LCM of 847 and 854 is 103334

Least common multiple can be found by multiplying the highest exponent prime factors of 847 and 854. First we will calculate the prime factors of 847 and 854.

Prime Factorization of 847


7 847
11 121
11 11
1

Prime factors of 847 are 7,11. Prime factorization of 847 in exponential form is:

847 = 71×112

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 847 and 854.

LCM(847,854) = 21×71×112×611
LCM(847,854) = 103334

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

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 847 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 847 and 854, than apply into the LCM equation.

GCF(847,854) = 7
LCM(847,854) = ( 847 × 854) / 7
LCM(847,854) = 723338 / 7
LCM(847,854) = 103334

Properties of LCM 847 and 854

(i) The LCM of 854 and 847 is associative

LCM of 847 and 854 = LCM of 854 and 847

Related Least Common Multiples of 847

Related Least Common Multiples of 854

Frequently Asked Questions on LCM of 847 and 854

1. What is the LCM of 847 and 854?

Answer: LCM of 847 and 854 is 103334.

2. What are the Factors of 847?

Answer: Factors of 847 are 1, 7, 11, 77, 121, 847. There are 6 integers that are factors of 847. The greatest factor of 847 is 847.

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 847 and 854?

Answer:

Least Common Multiple of 847 and 854 = 103334

Step 1: Find the prime factorization of 847

847 = 7 x 11 x 11

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 = 103334 = 2 x 7 x 11 x 11 x 61

Step 4: Therefore, the least common multiple of 847 and 854 is 103334.